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 a<b:
        tmp = a
        a = b
        b = tmp
    while(b>0):
        n = a%b
        a = b
        b = n
    return a

def lcm(a,b):
    return a*b//gcd(a,b)

n = int(input())
s = input().split()
arr = []
for i in range(n):
    arr.append(int(s[i]))
a = arr[0]
for i in range(1,n):
    a = lcm(a, arr[i])
print(a)