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 <iostream>
using namespace std;

int lcm(int i,int j){
    if(j==0)return i;
    return lcm(j,i%j);
}

int main(void){
    int n;
    cin>>n;
    int tmp=1;
    for(int i=0;i<n;i++){
        int j;
        cin>>j;
        tmp=tmp*j/lcm(tmp,j);
    }
    cout<<tmp<<endl;

    return 0;
}

