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.
while True:
    n = int(input("1 ≤ n ≤ 105"))
    if 1<=n<=105:
        break
    else:
        print("enter new w")
i=0 
j=0
ai= []
while True:
    for i in range(n):
        ai[i] = int(input())
        if 1<=n<=105:
            break
        else:
            print("enter new w")
    if 1<=n<=105:
            break
i=0
for i in range (n):
    a=0
    for j in range (j):
        if ai[i] % ai[j] == 0:
            a+=1
            if a==n:
                print(ai[i])
        else:
            print(-1)
    	 		 			  	 	  	   					