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 sys

# Set max recursion limit
sys.setrecursionlimit(1000000)


def li_input():
    return [int(_) for _ in input().split()]

def gcd(a, b):
    if a % b == 0:
        return b
    else:
        return gcd(b, a % b)

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

def lcm_list(L):
    _lcm = lcm(L[0], L[1])

    for i in range(2, len(L)):
        _lcm = lcm(_lcm, L[i])

    return _lcm

def main():
    N = int(input())
    L = li_input()

    print(lcm_list(L))


main()

