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
#!/usr/bin/env python3
# -*- coding: utf-8 -*-

import fractions


def lcm(a, b):
    return a * b // fractions.gcd(a, b)


def lcms(ns):
    l = len(ns)
    assert l > 1
    if l == 2:
        return lcm(*ns)
    else:
        a = ns.pop()
        return lcm(a, lcms(ns))


if __name__ == "__main__":
    _ = int(input())
    print(lcms(list(map(int, input().split()))))