Ksusha and Array

Description:

Input:

The first line contains integer n (1 ≤ n ≤ 10⁵), showing how many numbers the array has. The next line contains integers a₁, a₂, ..., a_n (1 ≤ a_i ≤ 10⁹) — the array elements.

Output:

Print a single integer — the number from the array, such that all array elements are divisible by it. If such number doesn't exist, print -1.

If there are multiple answers, you are allowed to print any of them.

Sample Input:

3
2 2 4

Sample Output:

2

Sample Input:

5
2 1 3 1 6

Sample Output:

1

Sample Input:

3
2 3 5

Sample Output:

-1