logoACM-horiz-J

Problem J

Maximum GCD
Input: Standard Input

Output: Standard Output

                       

Given the N integers, you have to find the maximum GCD(greatest common divisor) of every possible pair of these integers.

 

Input

The first line of input is an integer N(1<N<100) that determines the number of test cases.

The following N lines are the N test cases. Each test case contains M (1<M<100) positive integers that you have to find the maximum of GCD.

 

 

Output

For each test case show the maximum GCD of every possible pair.

 

Sample Input

Output for Sample Input

3

10 20 30 40

7  5 12

125 15 25

20

1

25


Problemsetter: Amarin Deemagarn