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≤n≤105), showing how many numbers the array has. The next line contains integers a1,a2,...,an (1≤ai≤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.
3
2 2 4
2
5
2 1 3 1 6
1
3
2 3 5
-1