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
#include <cstdio>

int gcd(int a, int b)
{
    return b ? gcd(b, a%b): a;
}

int m[50];

int main()
{
    int n;
    scanf("%d",&n);
    int mui = 1;
    for(int i = 1; i <= n; i ++) scanf("%d",&m[i]);
    int g = gcd(m[1], m[2]);
    int ans = m[1]/g*m[2];
    for(int i = 3; i <= n; i ++) ans = ans/gcd(ans, m[i])*m[i];
    printf("%d\n",ans);
    return 0;
}

