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):
    while True:
        if a<b:
            a,b=b,a
        amari=a%b
        if amari==0:
            break
        else:
            a,b=b,amari
    return(b)

n=int(input())
c=list(map(int,input().split()))
for i in range(n-1,0,-1):
    c[i-1]=int(c[i]*c[i-1]/gcd(c[i],c[i-1]))
print(c[0])
