# E :: GCD

Time Limit: 2 Seconds Memory Limit: 32768 KB

Suppose that *f(i,j,k)* is defined to be the greatest common divisor of *i*,*i+j*,*i+2j*,…,*i+(k-1)j*,*i+kj*. Write a program that gets *n*, *m* and *p* as the input and computes the following as the output.

## Input

The first line of the input includes the number of test cases, 1≤*t*≤100. Each of the following *t* lines contains three positive integers *n*, *m* and *p* separated by a single space. All input numbers are not greater than 1200.

## Output

For each test case, print the output of your program in one line.

## Sample Input

2 2 3 4 4 5 6

## Sample Output

28 168Submit

Source: 12th Iran Nationwide Internet Contest I