2018 Multi-University Training Contest 1 Maximum Multiple

Problem Description

Given an integer n, Chiaki would like to find three positive integers x, y and z such that: n=x+y+z, x∣n, y∣n, z∣n and xyz is maximum.

Input

There are multiple test cases. The first line of input contains an integer T (1≤T≤106), indicating the number of test cases. For each test case:
The first line contains an integer n (1≤n≤106).

Output

For each test case, output an integer denoting the maximum xyz. If there no such integers, output −1 instead.

Sample Input

3 1 2 3

Sample Output

-1 -1 1

简单数学题

include<bits/stdc++.h>

using namespace std;

int main()
{
    int T;
    scanf("%d" , &T);
    while(T --)
    {
        int n ;
        scanf("%d" , &n);
        if(n < 3)
        {
            printf("-1\n");
            continue;
        }
        long long temp = n / 3;
        if(temp * 3 == n)
        {
            temp = temp * temp * temp;
            printf("%lld\n" , temp);
            //cout << temp * temp * temp << endl;
            continue;
        }
        else
        {
            int flag = 0;
            long long  a = n / 2 ;
            long long  b = n / 4 ;
            long long  c = n / 4;
            if(a + b + c == n)
            {
                a = a * b * c;
                printf("%lld\n" , a);
                //cout << a * b * c << endl;
                continue;
            }
            printf("-1\n");
            //cout << -1 << endl;
        }
    }
    return 0;
}