#include<bits/stdc++.h>
using namespace std;

int p[20]={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47},cnt=15;
int n,pos[50],a;
long long ans=2e18;

int main()
{
    scanf("%d",&n);
    for(int t=1;t<=n;++t) {
        scanf("%d",&a);
        for(int i=0;i<cnt;++i) if(a%p[i]==0) pos[t]|=(1<<i);
    }
    for(int i=0;i<(1<<cnt);++i) {
        int flag=1;
        for(int j=1;j<=n;++j) {
            if((i&pos[j])==0) {flag=0;break;}
        }
        if(flag) {
            long long tmp=1;
            for(int j=0;j<cnt;++j) if((i>>j)&1) tmp*=p[j];
            ans=min(ans,tmp);
        }
    }
    cout<<ans;
}
#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define R cin>>
#define ll long long
#define ln cout<<'\n'
#define in(a) insert(a)
#define pb(a) push_back(a)
#define pd(a) printf("%.10f\n",a)
#define mem(a) memset(a,0,sizeof(a))
#define all(c) (c).begin(),(c).end()
#define iter(c) __typeof((c).begin())
#define rrep(i,n) for(ll i=(ll)(n)-1;i>=0;i--)
#define REP(i,m,n) for(ll i=(ll)(m);i<(ll)(n);i++)
#define rep(i,n) REP(i,0,n)
#define tr(it,c) for(iter(c) it=(c).begin();it!=(c).end();it++)
ll check(ll n,ll m,ll x,ll y){return x>=0&&x<n&&y>=0&&y<m;}void pr(){ln;}
template<class A,class...B>void pr(const A &a,const B&...b){cout<<a<<(sizeof...(b)?" ":"");pr(b...);}
template<class A>void PR(A a,ll n){rep(i,n)cout<<(i?" ":"")<<a[i];ln;}
const ll MAX=1e9+7,MAXL=1LL<<61,dx[8]={-1,0,1,0,-1,-1,1,1},dy[8]={0,1,0,-1,-1,1,1,-1};
typedef pair<ll,ll> P;

vector<ll> sieve(ll n) {
  vector<ll> p(n);p[2]=2;
  for(ll i=3;i<n;i+=2)p[i]=i;
  for(ll i=3;i*i<n;i+=2)if(p[i])for(ll j=i*i;j<n;j+=i)p[j]=0;
  p.erase(remove(p.begin(), p.end(), 0), p.end());
  return p;
}

void Main() {
  vector<ll> p=sieve(50);
  ll n;
  cin >> n;
  ll a[n];
  rep(i,n) R a[i];
  ll ans=MAXL;
  rep(t,1<<p.size()) {
    ll x=1;
    rep(i,p.size()) {
      if(t&(1<<i)) x*=p[i];
    }
    rep(i,n) {
      ll d=__gcd(x,a[i]);
      if(d==1) goto next;
    }
    ans=min(ans,x);
  next:;
  }
  pr(ans);
}

int main(){ios::sync_with_stdio(0);cin.tie(0);Main();return 0;}
