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
from math import sqrt, floor
from collections import deque
from functools import reduce
from operator import mul


def divide(p):
    global a, lcm, limit

    c, d, f = a.copy(), set(), False
    while True:
        b = set(i for i in c if not (i % p))
        d |= c - b
        if not b:
            a = d
            break
        lcm.append(p)
        c = set(i // p for i in b)
        f = True
    if f:
        limit = floor(sqrt(max(a)))


n, a = int(input()), set(map(int, input().split()))
p, lcm, limit = 3, deque(), floor(sqrt(max(a)))

divide(2)

while p <= limit:
    divide(p)
    p += 2

print(reduce(mul, lcm, 1) * reduce(mul, a, 1))