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

n = int(raw_input())
a = map(int, raw_input().split())
l = a[0]

for i in range(1,len(a)):
    b = a[i]
    g = gcd(l,b)
    l = l*b/g
print l
     