1132 Cut Integer (20分)
作者:互联网
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 <231). 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
#include<iostream>
#include<cstring>
#include<vector>
using namespace std;
int main(){
int n;
cin >> n;
for(int i = 0; i < n; i++){
string s;
cin >> s;
int k = s.length() / 2;
string s1, s2;
s1 = s.substr(0, k);
s2 = s.substr(k, k);
int a, b, c;
a = stoi(s);
b = stoi(s1);
c = stoi(s2);
if(b == 0 || c == 0){
printf("No\n");
}else
{
if(a % (b * c) == 0){
printf("Yes\n");
}else
{
printf("No\n");
}
}
// cout << s1 << " " << s2 << endl;
}
return 0;
}
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