LIGHTOJ-1078 - Integer Divisibility

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1078 - Integer Divisibility
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Time Limit: 2 second(s)Memory Limit: 32 MB

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

Output for Sample Input

3

3 1

7 3

9901 1

Case 1: 3

Case 2: 6

Case 3: 12





求几个一位数能被第一个数整除,模拟两数相除的过程!



#include<cstdio>#include<cstring>#include<algorithm>using namespace std;int main(){int i,j,k,a,b,m,n,num1,num2,cot=1;;scanf("%d",&n);while(n--){num1=0;num2=0;scanf("%d%d",&a,&b);int x=a,y=b;while(x>y){y=y*10+b;num2++;}while(y%x){y=(y%x)*10+b;num1++;}printf("Case %d: %d\n",cot++,num1+num2+1);}return 0;}

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