Find the least common multiple (LCM) of given n integers.

Constraints

* 2 ≤ n ≤ 10
* 1 ≤ ai ≤ 1000
* Product of given integers ai(i = 1, 2, ... n) does not exceed 231-1

Input


n
a1 a2 ... an


n is given in the first line. Then, n integers are given in the second line.

Output

Print the least common multiple of the given integers in a line.

Examples

Input

3
3 4 6


Output

12


Input

4
1 2 3 5


Output

30
import math

n = int(input())
num = list(map(int, input().split()))

for i in range(n - 1):
    num[i + 1] = int(num[i] * num[i + 1] / math.gcd(num[i], num[i + 1]))

print(int(num[n - 1]))
