Cho một số, nhiệm vụ là kiểm tra xem số đó có chia hết cho 5 không. Số đầu vào có thể lớn và không thể lưu trữ ngay cả khi chúng ta sử dụng long long int
ví dụ.
Input : n = 56945255 Output : Yes Input : n = 1234567589333150 Output : Yes Input : n = 3635883959606670431112222 Output : No
Đề nghị thực hành
Kiểm tra xem có chia hết cho 5 không
Thử nó
Vì số đầu vào có thể rất lớn, chúng tôi không thể sử dụng n % 5 để kiểm tra xem một số có chia hết cho 5 hay không, đặc biệt là trong các ngôn ngữ như C/C++. Ý tưởng dựa trên thực tế sau đây.
A number is divisible by 5 if its digits last digit will be 0 or 5 .
Hình minh họa.
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.
Cái này hoạt động ra sao?
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.
Dưới đây là việc thực hiện ý tưởng trên
C++
A number is divisible by 5 if its digits last digit will be 0 or 5 .05
A number is divisible by 5 if its digits last digit will be 0 or 5 .06
A number is divisible by 5 if its digits last digit will be 0 or 5 .07
A number is divisible by 5 if its digits last digit will be 0 or 5 .08
A number is divisible by 5 if its digits last digit will be 0 or 5 .09
A number is divisible by 5 if its digits last digit will be 0 or 5 .0
A number is divisible by 5 if its digits last digit will be 0 or 5 .1
A number is divisible by 5 if its digits last digit will be 0 or 5 .2
A number is divisible by 5 if its digits last digit will be 0 or 5 .3
A number is divisible by 5 if its digits last digit will be 0 or 5 .4
A number is divisible by 5 if its digits last digit will be 0 or 5 .5
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____18
A number is divisible by 5 if its digits last digit will be 0 or 5 .9
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.1
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.2
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.4
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.5
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.6
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.8
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.0
A number is divisible by 5 if its digits last digit will be 0 or 5 .8
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.2
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .7__
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.5
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.6
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.7
A number is divisible by 5 if its digits last digit will be 0 or 5 .7__
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.9
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.40
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.41
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.42
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.43
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.44
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.7
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____21
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.48
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
Java
A number is divisible by 5 if its digits last digit will be 0 or 5 .050
A number is divisible by 5 if its digits last digit will be 0 or 5 .06
A number is divisible by 5 if its digits last digit will be 0 or 5 .052
A number is divisible by 5 if its digits last digit will be 0 or 5 .053
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____11
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____12
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____13
________ 17 ________ 1062 ________ 1063 ________ 1064
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .067
A number is divisible by 5 if its digits last digit will be 0 or 5 .8
A number is divisible by 5 if its digits last digit will be 0 or 5 .9
A number is divisible by 5 if its digits last digit will be 0 or 5 .070
A number is divisible by 5 if its digits last digit will be 0 or 5 .067
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.1
A number is divisible by 5 if its digits last digit will be 0 or 5 .073
A number is divisible by 5 if its digits last digit will be 0 or 5 .074
A number is divisible by 5 if its digits last digit will be 0 or 5 .075
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
A number is divisible by 5 if its digits last digit will be 0 or 5 .077
A number is divisible by 5 if its digits last digit will be 0 or 5 .078
A number is divisible by 5 if its digits last digit will be 0 or 5 .079
A number is divisible by 5 if its digits last digit will be 0 or 5 .080
A number is divisible by 5 if its digits last digit will be 0 or 5 .081
A number is divisible by 5 if its digits last digit will be 0 or 5 .074
A number is divisible by 5 if its digits last digit will be 0 or 5 .075
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
A number is divisible by 5 if its digits last digit will be 0 or 5 .077
A number is divisible by 5 if its digits last digit will be 0 or 5 .086
A number is divisible by 5 if its digits last digit will be 0 or 5 .087
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____1092
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____1094
A number is divisible by 5 if its digits last digit will be 0 or 5 .062
A number is divisible by 5 if its digits last digit will be 0 or 5 .096
A number is divisible by 5 if its digits last digit will be 0 or 5 .097
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .067
A number is divisible by 5 if its digits last digit will be 0 or 5 .01____36
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.7
________ 1067 ________ 105 ________ 106
A number is divisible by 5 if its digits last digit will be 0 or 5 .07
A number is divisible by 5 if its digits last digit will be 0 or 5 .08
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.40
A number is divisible by 5 if its digits last digit will be 0 or 5 .10
A number is divisible by 5 if its digits last digit will be 0 or 5 .067
A number is divisible by 5 if its digits last digit will be 0 or 5 .12
A number is divisible by 5 if its digits last digit will be 0 or 5 .07
A number is divisible by 5 if its digits last digit will be 0 or 5 .08
A number is divisible by 5 if its digits last digit will be 0 or 5 .15
A number is divisible by 5 if its digits last digit will be 0 or 5 .10
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
Python3
A number is divisible by 5 if its digits last digit will be 0 or 5 .20
A number is divisible by 5 if its digits last digit will be 0 or 5 .21
A number is divisible by 5 if its digits last digit will be 0 or 5 .22
A number is divisible by 5 if its digits last digit will be 0 or 5 .23
A number is divisible by 5 if its digits last digit will be 0 or 5 .24
A number is divisible by 5 if its digits last digit will be 0 or 5 .25
A number is divisible by 5 if its digits last digit will be 0 or 5 .26
A number is divisible by 5 if its digits last digit will be 0 or 5 .7____128
A number is divisible by 5 if its digits last digit will be 0 or 5 .29
A number is divisible by 5 if its digits last digit will be 0 or 5 .30
A number is divisible by 5 if its digits last digit will be 0 or 5 .31
A number is divisible by 5 if its digits last digit will be 0 or 5 .7__
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.1
A number is divisible by 5 if its digits last digit will be 0 or 5 .34
A number is divisible by 5 if its digits last digit will be 0 or 5 .35
A number is divisible by 5 if its digits last digit will be 0 or 5 .074
A number is divisible by 5 if its digits last digit will be 0 or 5 .37
A number is divisible by 5 if its digits last digit will be 0 or 5 .29
A number is divisible by 5 if its digits last digit will be 0 or 5 .29
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
A number is divisible by 5 if its digits last digit will be 0 or 5 .41
A number is divisible by 5 if its digits last digit will be 0 or 5 .42