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
# -*- coding: utf-8 -*-
"""
Elementary Number Theory - Least Common Multiple
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=NTL_1_C&lang=jp

"""
import sys
from math import gcd
from functools import reduce

def solve(A):
    return reduce(lambda x, y: x * y // gcd(x, y), A)


def main(args):
    _ = input()
    A = [int(a) for a in input().split()]
    ans = solve(A)
    print(ans)


if __name__ == '__main__':
    main(sys.argv[1:])

