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
def gcd(a, b):
    x, y = [a, b] if a > b else [b, a]
    while y:
        x, y = y, x%y
    return x

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

n = int(input())
A = [int(x) for x in input().split(' ')]

tmp = A[0]
for i in range(1, n):
    tmp = lcm(tmp, A[i])

print(tmp)
