Light OJ 1078:Integer Divisibility【数学】

1078 - Integer Divisibility

Time Limit:2000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu

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Description

If an integer is not divisible by 2 or 5, some multiple of that number in decimal notation is a sequence of only a digit. Now you are given the number and the only allowable digit, you should report the number of digits of such multiple.

For example you have to find a multiple of 3 which contains only 1's. Then the result is 3 because is 111 (3-digit) divisible by 3. Similarly if you are finding some multiple of 7 which contains only 3's then, the result is 6, because 333333 is divisible by 7.

Input

Input starts with an integer T (≤ 300), denoting the number of test cases.

Each case will contain two integers n (0 < n ≤ 10⁶ and n will not be divisible by 2 or 5) and the allowable digit(1 ≤ digit ≤ 9).

Output

For each case, print the case number and the number of digits of such multiple. If several solutions are there; report the minimum one.

Sample Input

3

3 1

7 3

9901 1

Sample Output

Case 1: 3

Case 2: 6

Case 3: 12

题意： 给你两个整数，n和m,问有最少有几个m组成的数能被n整除。。。。。不用同余会超时。。。。

AC-code：

#include<cstdio>int yu(long long n,int a){int i;long long ans;ans=a%n;if(a%n==0)return 1;for(i=2;;i++){ans=(ans*10+a)%n;if(ans%n==0)return i;}}int main(){int T,i,m;long long n;scanf("%d",&T);for(i=1;i<=T;i++){scanf("%lld%d",&n,&m);printf("Case %d: %d\n",i,yu(n,m));}return 0;}