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())
L=input().split( )
a=[int(L[i]) for i in range(n)]
for i in range(n-1):
    x=a[i]
    y=a[i+1]
    while x%y!=0:
        w=y
        y=x%y
        x=w
    a[i+1]=a[i+1]*a[i]//y


print(a[n-1])

