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 calc_gcd(x, y):
    
    if x < y:
        x, y = y, x

    while y > 0:
        x, y = y, x % y

    return x



n = int(input())
A = list(map(int, input().split()))


a_last = None

for a in A:
    if a_last == None:
        a_last = a
        continue

    gcd = calc_gcd(a, a_last)
    
    a_last = a * a_last / gcd


print(int(a_last))
