PAT (Advanced Level) Practice 1132 Cut Integer

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1132 Cut Integer（20 分）

Cutting an integer means to cut a K digits lone integer Z into two integers of (K/2) digits long integers A and B. For example, after cutting Z = 167334, we have A = 167 and B = 334. It is interesting to see that Z can be devided by the product of A and B, as 167334 / (167 × 334) = 3. Given an integer Z, you are supposed to test if it is such an integer.

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (≤ 20). Then N lines follow, each gives an integer Z (10 ≤ Z <2​31​​). It is guaranteed that the number of digits of Z is an even number.

Output Specification:

For each case, print a single line Yes if it is such a number, or No if not.

Sample Input:

3
167334
2333
12345678

Sample Output:

Yes
No
No

注：考虑A*B=0的情况  【这个点一直过不去(；´д｀)ゞ

代码：

#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long LL;
LL power(int x)
{
    LL ans=1;
    for(int i=0;i<x;i++)ans*=10;
    return ans;
}
int main()
{
    //cout<<power(3);
    int t;scanf("%d",&t);
    while(t--)
    {
        LL a;
        cin>>a;
        LL A=a;
        int cnt=0;
        while(a)
        {
            a/=10;
            cnt++;
        }
        int num=cnt/2;
        LL l=cnt-num,r=num;
        l=A/power(r);r=A-l*power(r);
        if(l!=0&&r!=0&&A%(l*r)==0){
            printf("Yes\n");
        }
        else printf("No\n");
    }
}