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())

def GCD(a,b):
    if min(a,b)==0:
        return max(a,b)
    else:
        return GCD(min(a,b),max(a,b)%min(a,b))

def LCM(a,b):
    return (a*b)//GCD(a,b)

a=[int(i) for i in input().split(" ")]

lcm=1
for ai in a:
    lcm=LCM(ai,lcm)
print(lcm)

