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    Given two integers, a and b, you should check whether a is divisible by b or not. We know that an integer a is divisible by an integer b if and only if there exists an integer c such that a = b * c.

    Input

    Input starts with an integer T (≤ 525), denoting the number of test cases.

    Each case starts with a line containing two integers a (-10200 ≤ a ≤ 10200) and b (|b| > 0, b fits into a 32 bit signed integer). Numbers will not contain leading zeroes.

    Output

    For each case, print the case number first. Then print 'divisible' if a is divisible by b. Otherwise print 'not divisible'.

    Sample Input

    6

    101 101

    0 67

    -101 101

    7678123668327637674887634 101

    11010000000000000000 256

    -202202202202000202202202 -101

    Sample Output

    Case 1: divisible

    Case 2: divisible

    Case 3: divisible

    Case 4: not divisible

    Case 5: divisible

    Case 6: divisible

    题解:用一个数组来存储大数,运用同余定理

    (a*b)%c=(a%c*b%c)%c;

    判断最后的余数是不是为零。注意:要用到long long型

    关于同余定理

    AC代码

    #include<stdio.h>
    #include<string.h>
    
    int main()
    {
        int n;
        char a[230];
        int b, num = 0;
        long long sum;
        scanf("%d", &n);
        while(n--)
        {
            sum = 0;
            scanf("%s %d", a, &b);
            int len = strlen(a);
            for(int i = 0; i < len; i++)
            {
                if(a[i] != '-')
                {
                    sum = (sum*10 + a[i] - '0') % b;
                }
            }
            num++;
            if(sum == 0)
                printf("Case %d: divisible
    ", num);
            else
                printf("Case %d: not divisible
    ", num);
        }
    
        return 0;
    }
    View Code
    永远渴望,大智若愚(stay hungry, stay foolish)
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  • 原文地址:https://www.cnblogs.com/h-hkai/p/8535514.html
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