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
import math
def keisan(x,y):
    z = (x[0]*x[1])//math.gcd(x[0],x[1])
    for i in range(y-2):
        z = (z*x[i+2])//math.gcd(z,x[i+2])
    return z
    
n = int(input())    
a = list(map(int,input().split()))
print(keisan(a,n))
