HCF của hai số trong Python sử dụng đệ quy

GCD (Số chung lớn nhất) hoặc HCF (Thước chung cao nhất) của hai số là số lớn nhất chia hết cho cả hai số đó.  

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    HCF của hai số trong Python sử dụng đệ quy

    Ví dụ: GCD của 20 và 28 là 4 và GCD của 98 và 56 là 14.  

    Một cách tiếp cận cũ và đơn giản là thuật toán Euclide bằng phép trừ

    Đó là một quá trình lặp lại phép trừ, mang kết quả về phía trước mỗi lần cho đến khi kết quả bằng với bất kỳ số nào bị trừ. Nếu câu trả lời lớn hơn 1, có một GCD (ngoài 1). Nếu câu trả lời là 1, không có ước chung (ngoài 1), và do đó cả hai số đều nguyên tố cùng nhau

    mã giả cho cách tiếp cận trên

    def gcd(a, b).
      nếu a == b.
        trả lại a
      nếu a > b.
        gcd(a – b, b)
      other.
        gcd(a, b – a)

    Tại một thời điểm nào đó, một số trở thành thừa số của số kia, vì vậy thay vì liên tục trừ đi cho đến khi cả hai bằng nhau, chúng ta kiểm tra xem nó có phải là thừa số của số kia không.  

    Ví dụ: giả sử a=98 & b=56  a>b nên đặt a= a-b và b giữ nguyên. Vì vậy  a=98-56=42  & b= 56. Vì b>a, chúng tôi kiểm tra xem b%a==0. vì câu trả lời là không, chúng tôi tiến hành thêm. Bây giờ b>a  vì vậy  b=b-a và a giữ nguyên. Vậy b= 56-42 = 14 & a= 42. Vì a>b, chúng tôi kiểm tra xem a%b==0. Bây giờ câu trả lời là có. Vì vậy, chúng tôi in nhỏ hơn giữa a và b là H. C. F. tôi. e. 42 là  3 lần của 14  do đó HCF là 14.  

    tương tự như vậy  khi a=36  & b=60  ,ở đây b>a  do đó b = 24 & a= 36 nhưng a%b. =0. Bây giờ a>b nên a= 12 & b= 24. và b%a==0. nhỏ hơn giữa a và b là 12  trở thành  HCF của 36 và 60.   

    Đề xuất thực hành LCM và GCD Hãy thử

    Giải pháp đơn giản

    Tiếp cận. Để tìm ƯCLN của hai số, trước tiên chúng ta sẽ tìm số nhỏ nhất của hai số đó, sau đó tìm ước chung cao nhất của số nhỏ nhất đó cũng là ước của số kia

    C++




    GCD of 98 and 56 is 14
    367

    GCD of 98 and 56 is 14
    368

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    370
    GCD of 98 and 56 is 14
    371

    GCD of 98 and 56 is 14
    372

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7____08
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7_______13679____13680
    GCD of 98 and 56 is 14
    3681
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    3683
    GCD of 98 and 56 is 14
    3684

    GCD of 98 and 56 is 14
    3685
    GCD of 98 and 56 is 14
    3686

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    3689

    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    3691

    C




    GCD of 98 and 56 is 14
    3692

    GCD of 98 and 56 is 14
    3693

    GCD of 98 and 56 is 14
    3694

     

    GCD of 98 and 56 is 14
    372

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    6

    _______07____13704

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3707

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    2
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7____08
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    3673

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7____006______007
    GCD of 98 and 56 is 14
    08
    GCD of 98 and 56 is 14
    09

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    3689

    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    3691

    Java




    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    _______07____1372

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    _______07____13671

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    72

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    78
    GCD of 98 and 56 is 14
    79
    GCD of 98 and 56 is 14
    80
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    83____13680
    GCD of 98 and 56 is 14
    85
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    89

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    93

    Python3




    GCD of 98 and 56 is 14
    94

     

    GCD of 98 and 56 is 14
    95

     

     

    ________ 096 ________ 097

    GCD of 98 and 56 is 14
    7____099

    GCD of 98 and 56 is 14
    7____001____002
    GCD of 98 and 56 is 14
    03
    GCD of 98 and 56 is 14
    04

     

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    01____028
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    01

     

     

    GCD of 98 and 56 is 14
    36

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    17
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    80

     

    GCD of 98 and 56 is 14
    43
    GCD of 98 and 56 is 14
    44____045
    GCD of 98 and 56 is 14
    46

     

    GCD of 98 and 56 is 14
    47

    C#




    GCD of 98 and 56 is 14
    48

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    53

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    _______055____13671

    GCD of 98 and 56 is 14
    55
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    98
    GCD of 98 and 56 is 14
    99
    GCD of 98 and 56 is 14
    00

    GCD of 98 and 56 is 14
    55
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    07____13680
    GCD of 98 and 56 is 14
    85
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    89

    GCD of 98 and 56 is 14
    55
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    93

    Javascript




    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    3680
    GCD of 98 and 56 is 14
    52____13682
    GCD of 98 and 56 is 14
    54
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    56

    GCD of 98 and 56 is 14
    57

    GCD of 98 and 56 is 14
    58

    Đầu ra

    GCD of 98 and 56 is 14

    Độ phức tạp về thời gian. O(min(a,b)) 
    Không gian phụ. Ô(1)

    Một giải pháp hiệu quả là sử dụng thuật toán Euclide, đây là thuật toán chính được sử dụng cho mục đích này. Ý tưởng là, GCD của hai số không thay đổi nếu một số nhỏ hơn bị trừ khỏi một số lớn hơn.  

    C++




    GCD of 98 and 56 is 14
    367

    GCD of 98 and 56 is 14
    368

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    370
    GCD of 98 and 56 is 14
    371

    GCD of 98 and 56 is 14
    64

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7____05
    GCD of 98 and 56 is 14
    76

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    ________ 077 ________ 07 ________ 085

    GCD of 98 and 56 is 14
    86

    GCD of 98 and 56 is 14
    7____088

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    86

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36703

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36706

    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    86

    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7_______136717
    GCD of 98 and 56 is 14
    3680
    GCD of 98 and 56 is 14
    36719
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    36721
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    36723

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    C




    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    ________ 077 ________ 07 ________ 085

     

    GCD of 98 and 56 is 14
    7____088

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

     

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36703

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36706

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3673

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
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    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7____006______007
    GCD of 98 and 56 is 14
    08
    GCD of 98 and 56 is 14
    09

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    3689

    GCD of 98 and 56 is 14
    1

    Java




    GCD of 98 and 56 is 14
    15

    GCD of 98 and 56 is 14
    16
    GCD of 98 and 56 is 14
    17

     

    GCD of 98 and 56 is 14
    19
    GCD of 98 and 56 is 14
    36792

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7____064

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36810
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36818
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    36824

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    88

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    36824

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    97

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36703

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36706

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136849

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    36854

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    78
    GCD of 98 and 56 is 14
    79
    GCD of 98 and 56 is 14
    80
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    36865
    GCD of 98 and 56 is 14
    3680 ________ 085
    GCD of 98 and 56 is 14
    3682 ________ 087____13684 _______ 089

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

    Python3




    GCD of 98 and 56 is 14
    36875

    ________ 096 ________ 097

     

    GCD of 98 and 56 is 14
    7____136879

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36882
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    36886

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    17

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36892
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    36886

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    10

     

    _______07____136901

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36882
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    36907

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    10

     

    _______07____136912

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36915

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36918
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    36920

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36923
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    36925

     

     

    GCD of 98 and 56 is 14
    36926

    GCD of 98 and 56 is 14
    10
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    78

    GCD of 98 and 56 is 14
    17
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    80

    _______05____136934

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    43
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    36938
    GCD of 98 and 56 is 14
    36939
    GCD of 98 and 56 is 14
    36940
    GCD of 98 and 56 is 14
    36941
    GCD of 98 and 56 is 14
    36942
    GCD of 98 and 56 is 14
    36943

    GCD of 98 and 56 is 14
    36944
    GCD of 98 and 56 is 14
    23

    GCD of 98 and 56 is 14
    7______043____007
    GCD of 98 and 56 is 14
    36949
    GCD of 98 and 56 is 14
    46

     

    GCD of 98 and 56 is 14
    36951

    C#




    GCD of 98 and 56 is 14
    36952

    GCD of 98 and 56 is 14
    36953

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    50

     

    GCD of 98 and 56 is 14
    19
    GCD of 98 and 56 is 14
    20

    GCD of 98 and 56 is 14
    7

    _______07____136960

    _______07____136962

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    76

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    88

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    97

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37005

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37009

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136849

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    37019

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    _______04____007____13680

    GCD of 98 and 56 is 14
    36813____085____13682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684

    _______137033____089

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    37038

    PHP




    GCD of 98 and 56 is 14
    37039

    GCD of 98 and 56 is 14
    37040

    GCD of 98 and 56 is 14
    37041

     

    GCD of 98 and 56 is 14
    37042

    GCD of 98 and 56 is 14
    37043

    GCD of 98 and 56 is 14
    21
    GCD of 98 and 56 is 14
    1____137046
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    6

     

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37057

    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37057

    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    9

     

    GCD of 98 and 56 is 14
    7____088

    GCD of 98 and 56 is 14
    7______05
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37077
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7______05
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37091
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1____137046
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37102

     

    GCD of 98 and 56 is 14
    7_______07
    GCD of 98 and 56 is 14
    1____137046
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37048____028
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37102

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    37113

    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37115

    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37117

     

    GCD of 98 and 56 is 14
    37118
    GCD of 98 and 56 is 14
    37119
    GCD of 98 and 56 is 14
    37120
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37102

     

    GCD of 98 and 56 is 14
    37125

    GCD of 98 and 56 is 14
    37126

    Javascript




    GCD of 98 and 56 is 14
    18

     

    GCD of 98 and 56 is 14
    19

     

    GCD of 98 and 56 is 14
    64

    GCD of 98 and 56 is 14
    21
    GCD of 98 and 56 is 14
    37131

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    7____05
    GCD of 98 and 56 is 14
    76

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

     

    GCD of 98 and 56 is 14
    7____088

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

     

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36703

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    36706

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    3671

     

    _______07____137169

    GCD of 98 and 56 is 14
    7______137171
    GCD of 98 and 56 is 14
    3680
    GCD of 98 and 56 is 14
    85
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    89

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    37179

     

    GCD of 98 and 56 is 14
    58

    Đầu ra

    GCD of 98 and 56 is 14

    Độ phức tạp về thời gian. O(min(a,b))
    Không gian phụ. O(min(a,b))

    Cách tiếp cận (Từ trên xuống Sử dụng Ghi nhớ)

    C++




    GCD of 98 and 56 is 14
    367

    GCD of 98 and 56 is 14
    37182

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    370
    GCD of 98 and 56 is 14
    371

     

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    37188

     

    GCD of 98 and 56 is 14
    372

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    7____05
    GCD of 98 and 56 is 14
    76

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

     

    GCD of 98 and 56 is 14
    7____088

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    7

    _______07____137221

    _______07____137223

    GCD of 98 and 56 is 14
    7____05
    GCD of 98 and 56 is 14
    37226

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37229

     

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37236

    GCD of 98 and 56 is 14
    7

    _______07____137239

    _______07____136944

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37243

    GCD of 98 and 56 is 14
    7

    _______07____137246

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37229

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3673

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7____137259____137260
    GCD of 98 and 56 is 14
    37261
    GCD of 98 and 56 is 14
    37262

    GCD of 98 and 56 is 14
    7_______136717
    GCD of 98 and 56 is 14
    3680
    GCD of 98 and 56 is 14
    36719
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    36721
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    36723

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    3689

    GCD of 98 and 56 is 14
    1

    Java




    GCD of 98 and 56 is 14
    15

    GCD of 98 and 56 is 14
    16
    GCD of 98 and 56 is 14
    37277

    GCD of 98 and 56 is 14
    16
    GCD of 98 and 56 is 14
    17

     

    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    19
    GCD of 98 and 56 is 14
    53

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    37287
    GCD of 98 and 56 is 14
    37288
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    37290
    GCD of 98 and 56 is 14
    37291
    GCD of 98 and 56 is 14
    37292
    GCD of 98 and 56 is 14
    37291
    GCD of 98 and 56 is 14
    37294

    GCD of 98 and 56 is 14
    55

    GCD of 98 and 56 is 14
    7____064

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    74

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36810
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36818
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    36824

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    88

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    36824

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37221

    _______07____137223

    GCD of 98 and 56 is 14
    7____05____0043
    GCD of 98 and 56 is 14
    30
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37229

     

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37236

    GCD of 98 and 56 is 14
    7

    _______07____137239

    _______07____136944

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37243

    GCD of 98 and 56 is 14
    7

    _______07____137246

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37229

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136849

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    36854

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    082
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    085
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    087
    GCD of 98 and 56 is 14
    37291
    GCD of 98 and 56 is 14
    089

    GCD of 98 and 56 is 14
    7_______0082
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    094
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    096
    GCD of 98 and 56 is 14
    37291
    GCD of 98 and 56 is 14
    098

    GCD of 98 and 56 is 14
    50
    GCD of 98 and 56 is 14
    100
    GCD of 98 and 56 is 14
    30
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    78
    GCD of 98 and 56 is 14
    79
    GCD of 98 and 56 is 14
    80
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    36865
    GCD of 98 and 56 is 14
    3680 ________ 085
    GCD of 98 and 56 is 14
    3682 ________ 087____13684 _______ 089

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    125

    Python3




    GCD of 98 and 56 is 14
    126

     

    GCD of 98 and 56 is 14
    127

    GCD of 98 and 56 is 14
    128
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    130
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    30
    GCD of 98 and 56 is 14
    082
    GCD of 98 and 56 is 14
    134
    GCD of 98 and 56 is 14
    135
    GCD of 98 and 56 is 14
    136
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    37291
    GCD of 98 and 56 is 14
    139
    GCD of 98 and 56 is 14
    082
    GCD of 98 and 56 is 14
    141
    GCD of 98 and 56 is 14
    135
    GCD of 98 and 56 is 14
    136
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    37291
    GCD of 98 and 56 is 14
    139

     

    GCD of 98 and 56 is 14
    96
    GCD of 98 and 56 is 14
    148

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136879

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36882
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    36886

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    17

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36892
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    36886

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    10

     

    _______07____136901

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36882
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    36907

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    10

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    186
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    30
    GCD of 98 and 56 is 14
    36886

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    193

    GCD of 98 and 56 is 14
    4

    _______07____136912

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36915

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    193
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    36918
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    36920

    GCD of 98 and 56 is 14
    7____136944
    GCD of 98 and 56 is 14
    23

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    193____002
    GCD of 98 and 56 is 14
    36923
    GCD of 98 and 56 is 14
    28
    GCD of 98 and 56 is 14
    36925

    GCD of 98 and 56 is 14
    4

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    193

     

    GCD of 98 and 56 is 14
    36926

    GCD of 98 and 56 is 14
    10
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    78

    GCD of 98 and 56 is 14
    17
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    80

    _______05____136934

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    43
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    36938
    GCD of 98 and 56 is 14
    36939
    GCD of 98 and 56 is 14
    36940
    GCD of 98 and 56 is 14
    36941
    GCD of 98 and 56 is 14
    36942
    GCD of 98 and 56 is 14
    36943

    GCD of 98 and 56 is 14
    36944
    GCD of 98 and 56 is 14
    23

    GCD of 98 and 56 is 14
    7______043____007
    GCD of 98 and 56 is 14
    36949
    GCD of 98 and 56 is 14
    46

     

    GCD of 98 and 56 is 14
    244

    C#




    GCD of 98 and 56 is 14
    48

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    50

    GCD of 98 and 56 is 14
    19
    GCD of 98 and 56 is 14
    53

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    254
    GCD of 98 and 56 is 14
    37288
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    257

    GCD of 98 and 56 is 14
    55

    GCD of 98 and 56 is 14
    7____064

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    74

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    76

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    36824

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    88

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    36824

    _______07____137221

    _______07____137223

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    302

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    305

     

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    _______04____0312

    GCD of 98 and 56 is 14
    7

    _______07____137239

    _______07____136944

    _______04____0319

    GCD of 98 and 56 is 14
    7

    _______07____137246

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    305

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136849

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    37019

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    082
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    342

    GCD of 98 and 56 is 14
    7____0082____007
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    347

    _______050____0349

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    4____0358____13680
    GCD of 98 and 56 is 14
    85
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    89

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    125

    Javascript




    GCD of 98 and 56 is 14
    369

    GCD of 98 and 56 is 14
    19

    ________ 0371 ________ 0372 ________ 137288 ________ 0374

     

    GCD of 98 and 56 is 14
    375

    GCD of 98 and 56 is 14
    082
    GCD of 98 and 56 is 14
    07____0371
    GCD of 98 and 56 is 14
    379

    GCD of 98 and 56 is 14
    7____0381____137288
    GCD of 98 and 56 is 14
    374

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    372

    GCD of 98 and 56 is 14
    21
    GCD of 98 and 56 is 14
    37131

    GCD of 98 and 56 is 14
    6

     

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    7____05
    GCD of 98 and 56 is 14
    76

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    79

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

     

    GCD of 98 and 56 is 14
    7____088

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    91

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    7

    _______07____137221

    _______07____137223

    GCD of 98 and 56 is 14
    7____05
    GCD of 98 and 56 is 14
    37226

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37229

     

    GCD of 98 and 56 is 14
    7____097

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36700

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37236

    GCD of 98 and 56 is 14
    7

    _______07____137239

    _______07____136944

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    37243

    GCD of 98 and 56 is 14
    7

    _______07____137246

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37229

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    3671

    _______07____137169

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____0082
    GCD of 98 and 56 is 14
    449

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    082
    GCD of 98 and 56 is 14
    452

    GCD of 98 and 56 is 14
    7____0454

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7______137171
    GCD of 98 and 56 is 14
    3680
    GCD of 98 and 56 is 14
    85
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    89

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    468

     

    GCD of 98 and 56 is 14
    58

    Đầu ra

    GCD of 98 and 56 is 14

    Độ phức tạp về thời gian. O(min(a,b))
    Không gian phụ. Ô(1)

    Thay vì thuật toán Euclide bằng phép trừ, có một cách tiếp cận tốt hơn. Chúng tôi không thực hiện phép trừ ở đây. chúng tôi liên tục chia số lớn hơn cho số nhỏ hơn. Có thể tìm hiểu thêm về giải pháp hiệu quả này bằng cách sử dụng toán tử modulo trong thuật toán Euclide

    C++




    GCD of 98 and 56 is 14
    367

    GCD of 98 and 56 is 14
    368

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    370
    GCD of 98 and 56 is 14
    371

    GCD of 98 and 56 is 14
    475

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    485

    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    86

    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3673

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7_______136717
    GCD of 98 and 56 is 14
    3680
    GCD of 98 and 56 is 14
    36719
    GCD of 98 and 56 is 14
    3682
    GCD of 98 and 56 is 14
    36721
    GCD of 98 and 56 is 14
    3684
    GCD of 98 and 56 is 14
    36723

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    3689

    GCD of 98 and 56 is 14
    1

    C




    GCD of 98 and 56 is 14
    3692

    GCD of 98 and 56 is 14
    3694

     

    GCD of 98 and 56 is 14
    64

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    525

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    3671

    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3673

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    GCD of 98 and 56 is 14
    7____006______007
    GCD of 98 and 56 is 14
    08
    GCD of 98 and 56 is 14
    09

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    3689

    GCD of 98 and 56 is 14
    1

    Java




    GCD of 98 and 56 is 14
    15

    GCD of 98 and 56 is 14
    16
    GCD of 98 and 56 is 14
    17

     

    GCD of 98 and 56 is 14
    19
    GCD of 98 and 56 is 14
    36792

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7____064

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    74
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36818
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    74
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    525

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136849

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    36854

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    78
    GCD of 98 and 56 is 14
    79
    GCD of 98 and 56 is 14
    80
    GCD of 98 and 56 is 14
    9

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    36865
    GCD of 98 and 56 is 14
    3680 ________ 085
    GCD of 98 and 56 is 14
    3682 ________ 087____13684 _______ 089

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

    Python3




    GCD of 98 and 56 is 14
    36875

    GCD of 98 and 56 is 14
    96
    GCD of 98 and 56 is 14
    148

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136879

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    36892
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    41
    GCD of 98 and 56 is 14
    36886

    GCD of 98 and 56 is 14
    3685
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    10

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    620
    GCD of 98 and 56 is 14
    11
    GCD of 98 and 56 is 14
    5

     

    GCD of 98 and 56 is 14
    36926

    GCD of 98 and 56 is 14
    10
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    78

    GCD of 98 and 56 is 14
    17
    GCD of 98 and 56 is 14
    02
    GCD of 98 and 56 is 14
    80

    _______05____136934

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    43
    GCD of 98 and 56 is 14
    07
    GCD of 98 and 56 is 14
    36938
    GCD of 98 and 56 is 14
    36939
    GCD of 98 and 56 is 14
    36940
    GCD of 98 and 56 is 14
    36941
    GCD of 98 and 56 is 14
    36942
    GCD of 98 and 56 is 14
    36943

    GCD of 98 and 56 is 14
    36944
    GCD of 98 and 56 is 14
    23

    GCD of 98 and 56 is 14
    7______043____007
    GCD of 98 and 56 is 14
    36949
    GCD of 98 and 56 is 14
    46

     

    GCD of 98 and 56 is 14
    36951

    C#




    GCD of 98 and 56 is 14
    36952

    GCD of 98 and 56 is 14
    36953

    GCD of 98 and 56 is 14
    369
    GCD of 98 and 56 is 14
    50

     

    GCD of 98 and 56 is 14
    19
    GCD of 98 and 56 is 14
    20

    GCD of 98 and 56 is 14
    7

    _______07____136960

    _______07____136962

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    1
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    5

    GCD of 98 and 56 is 14
    7____0669

    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    5
    GCD of 98 and 56 is 14
    82

    GCD of 98 and 56 is 14
    36813
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    77
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    525

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    7

    GCD of 98 and 56 is 14
    7____136849

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    18
    GCD of 98 and 56 is 14
    25
    GCD of 98 and 56 is 14
    71
    GCD of 98 and 56 is 14
    37019

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    0
    GCD of 98 and 56 is 14
    3677

    _______04____007____13680

    GCD of 98 and 56 is 14
    36813____085____13682
    GCD of 98 and 56 is 14
    87
    GCD of 98 and 56 is 14
    3684

    _______137033____089

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    37038

    PHP




    GCD of 98 and 56 is 14
    37039

    GCD of 98 and 56 is 14
    37040

    GCD of 98 and 56 is 14
    37041

     

    GCD of 98 and 56 is 14
    37042

    GCD of 98 and 56 is 14
    37043

    GCD of 98 and 56 is 14
    21
    GCD of 98 and 56 is 14
    1____137046
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    46

    GCD of 98 and 56 is 14
    6

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    73

    GCD of 98 and 56 is 14
    7______05____007
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    726

    GCD of 98 and 56 is 14
    4
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    9

     

    GCD of 98 and 56 is 14
    7_______07
    GCD of 98 and 56 is 14
    1____137048
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    11
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37102

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    37113

    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37115

    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37117

     

    GCD of 98 and 56 is 14
    37118
    GCD of 98 and 56 is 14
    37119
    GCD of 98 and 56 is 14
    37120
    GCD of 98 and 56 is 14
    37046
    GCD of 98 and 56 is 14
    37047
    GCD of 98 and 56 is 14
    37048
    GCD of 98 and 56 is 14
    37102

     

    GCD of 98 and 56 is 14
    37125

    GCD of 98 and 56 is 14
    37126

    Javascript




    GCD of 98 and 56 is 14
    18

     

    GCD of 98 and 56 is 14
    756

     

    GCD of 98 and 56 is 14
    64

     

    GCD of 98 and 56 is 14
    21
    GCD of 98 and 56 is 14
    759

    GCD of 98 and 56 is 14
    55

    GCD of 98 and 56 is 14
    55
    GCD of 98 and 56 is 14
    73

    _______055____05____0765

    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    85

    GCD of 98 and 56 is 14
    55
    GCD of 98 and 56 is 14
    1

    GCD of 98 and 56 is 14
    55

    GCD of 98 and 56 is 14
    55
    GCD of 98 and 56 is 14
    7
    GCD of 98 and 56 is 14
    525

    GCD of 98 and 56 is 14
    1

     

    GCD of 98 and 56 is 14
    37113

    GCD of 98 and 56 is 14
    48

    GCD of 98 and 56 is 14
    49

     

    GCD of 98 and 56 is 14
    779

     

    GCD of 98 and 56 is 14
    780

     

    GCD of 98 and 56 is 14
    58

    Đầu ra

    GCD of 98 and 56 is 14

    Độ phức tạp về thời gian. O(log(min(a,b)).
    Không gian phụ. O(log(min(a,b))

    Độ phức tạp về thời gian của thuật toán trên là O(log(min(a,b))) nguồn gốc của điều này thu được từ phân tích tình huống xấu nhất. Những gì chúng tôi làm là chúng tôi hỏi 2 số nhỏ nhất thực hiện 1 bước là gì, đó sẽ là (1,1). Nếu chúng ta muốn tăng số bước lên 2 trong khi vẫn giữ các số càng thấp càng tốt, chúng ta có thể lấy các số là (1,2). Tương tự, với 3 bước, các số sẽ là (2,3), 4 là (3,5), 5 là (5,8). Vì vậy, chúng ta có thể nhận thấy một mẫu ở đây, đối với bước thứ n, các số sẽ là (fib(n), fib(n+1)). Vì vậy, độ phức tạp thời gian trong trường hợp xấu nhất sẽ là O(n) trong đó a>= fib(n) và b>= fib(n+1).  

    Bây giờ chuỗi Fibonacci là một chuỗi tăng trưởng theo cấp số nhân trong đó tỷ lệ của số hạng thứ n/(n-1) tiến đến (sqrt(5)+1)/2 còn được gọi là tỷ lệ vàng. Vì vậy, chúng ta có thể thấy rằng độ phức tạp thời gian của thuật toán tăng tuyến tính khi các thuật ngữ tăng theo cấp số nhân do đó độ phức tạp thời gian sẽ là log(min(a,b))