Ksusha is a beginner coder. Today she starts studying arrays. She has array a1,a2,...,an, consisting of n positive integers.

Her university teacher gave her a task. Find such number in the array, that all array elements are divisible by it. Help her and find the number!

The first line contains integer n (1 \le n \le 105), showing how many numbers the array has. The next line contains integers a1,a2,...,an (1 \le ai \le 109) - the array elements.

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.