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(m,n):  
    while m % n > 0:
        m, n = n, m % n
    else:
        return n
        
def gen_lcm_list(a):
    '''return a shorter list'''
    b = []
    for i in range(len(a)-1):
        b.append(a[i]*a[i+1]/gcd(a[i],a[i+1]))
    return b

n = int(raw_input())
a = map(int,raw_input().split())
while len(a) > 1:
    a = gen_lcm_list(a)
print a[0]