Ksusha is a beginner coder. Today she starts studying arrays. She has array *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub>, 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* ≤ 10<sup class="upper-index">5</sup>), showing how many numbers the array has. The next line contains integers *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> (1 ≤ *a*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">9</sup>) — the array elements.
import sys

n = int(sys.stdin.readline())
ar = sys.stdin.readline().split()
ar = [int(x) for x in ar]
ar.sort()

mn = ar[0]
mx = ar[-1]

founded = True

last = mn
for i in range(1,len(ar)):
    if last!=ar[i]:
        last = ar[i]
        if ar[i]%mn!=0:
            founded = False
            break

if founded:
    print(mn)
else:
    print(-1)
