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
n = int(input())
a = list(map(int, input().split()))
# nこのlcm 順番に計算するとlog a * n くらいになる？
def my_lcm(a, b):
    cum = a * b
    if a > b:
        a, b = b, a
    while a != 0:
        a, b = b % a, a
    # b がgcd になっている
    return cum // b


res = 1
for i in a:
    res = my_lcm(res, i)
print(res)

