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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i,n) repi(i,0,n)
#define repi(i,a,b) for(int i=(int)a;i<(int)b;++i)
ll gcd(ll a,ll b){
    if(b==0)return a;
    return gcd(b,a%b);
}
ll lcm(ll a,ll b){
    return a/gcd(a,b)*b;
}
int main(){
    int n;cin>>n;
    vector<ll> a(n);
    rep(i,n)cin>>a[i];
    sort(a.begin(),a.end());
    ll ans=lcm(a[0],a[1]);
    repi(i,2,n){
        ans=lcm(a[i],ans);
    }
    cout<<ans<<endl;
    return 0;
}
