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;
#define ll long long

ll gcl(ll x,ll y){
    if(y==0) return x;
    else return gcl(y,x%y);
}

int main(){
    int n;cin>>n;
    ll a[n];
    for(int i=0;i<n;i++){
        cin>>a[i];
    }
    ll ans=a[0];
    for(int i=1;i<n;i++){
        ans=ans*a[i]/gcl(ans,a[i]);
    }
    cout<<ans<<endl;
}
