//#pragma GCC target("avx512f,avx512dq,avx512cd,avx512bw,avx512vl")
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define LL long long
#define DB double
#define LD long double
#define ST string
#define BS bitset
#define PA pair<LL,LL>
#define VE vector
#define VL VE<LL>
#define VP VE<PA>
#define VVL VE<VL>
#define VVVL VE<VVL>
#define PQ priority_queue
#define PQS priority_queue<LL,vector<LL>,greater<LL>>
#define FI first
#define SE second
#define PB push_back
#define POB pop_back
#define PF push_front
#define POF pop_front
#define MP make_pair
#define TS to_string
#define TU to_ullong
#define BPL __builtin_popcountll
#define FOR(i,a,n) for(i=a;i<n;++i)
#define FORR(i,a,n) for(i=n-1;i>=a;--i)
#define rep(i,n) FOR(i,0,n)
#define repr(i,n) FORR(i,0,n)
#define ALL(a) a.begin(),a.end()
#define RALL(a) a.rbegin(),a.rend()
#define SORT(a) sort(ALL(a))
#define REV(a) reverse(ALL(a))
#define UB(a,n) *upper_bound(ALL(a),n)
#define UBn(a,n) upper_bound(ALL(a),n)-a.begin()
#define LB(a,n) *lower_bound(ALL(a),n)
#define LBn(a,n) lower_bound(ALL(a),n)-a.begin()
#define INF 1000000000000000003
#define PI 3.14159265358979323846264338327950288
//#define MOD 1000000007
#define MOD 998244353
#define ERR 1e-10
#define coutl cout<<fixed<<setprecision(15)
#define FAST cin.tie(0);ios::sync_with_stdio(false)

void Yn(LL a){if(a)cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void YN(LL a){if(a)cout<<"YES"<<endl;else cout<<"NO"<<endl;}
LL pwmn(LL a,LL n){LL ans=1;while(ans<a)ans*=n;return ans;}
LL dig(LL n){LL ret=0;while(n)n/=10,++ret;return ret;}
LL GCD(LL a,LL b){LL c=1,tmp=max(a,b);b=min(a,b);a=tmp;while(c!=0){c=a%b;a=b;b=c;}return a;}
LL LCM(LL a,LL b){return a*b/GCD(a,b);}
LL cmod(LL a,LL m){if(a%m<0)return a%m+abs(m);else return a%m;}
LL cdiv(LL a,LL b){return ((a<0&&b<0)||(a>=0&&b>=0)?a/b:(a-b+1)/b);}
LL DIV(LL a,LL d,LL m){LL l=m,x=1,y=0,k;while(l){k=d/l;d-=k*l;swap(l,d);x-=k*y;swap(x,y);}return cmod(a*cmod(x,m),m);}
LL POW(LL a,LL n,LL m){LL ans=1;while(n>0){if(n&1)ans=ans*a%m;a=a*a%m;n>>=1;}return ans;}
VL fact,finv,inv;
void comi(LL n){LL i;fact.resize(max(2LL,n+1));finv.resize(max(2LL,n+1));inv.resize(max(2LL,n+1));fact[0]=fact[1]=1;finv[0]=finv[1]=1;inv[0]=inv[1]=1;FOR(i,2,n+1){fact[i]=fact[i-1]*i%MOD;inv[i]=MOD-inv[MOD%i]*(MOD/i)%MOD;finv[i]=finv[i-1]*inv[i]%MOD;}}
LL com(LL n,LL k){if(n<k||n<0||k<0)return 0;return fact[n]*(finv[k]*finv[n-k]%MOD)%MOD;}
bool cmps(PA a,PA b){if(a.SE!=b.SE)return a.SE<b.SE;return a.FI<b.FI;}
template<typename T>bool chmax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<typename T>bool chmin(T &a,T b){if(a>b){a=b;return true;}return false;}
template<typename T>void vout(VE<T> &v){LL i;rep(i,v.size()){cout<<v[i];if(i<v.size()-1)cout<<" ";}cout<<endl;}
template<typename T>void v2out(VE<VE<T>> &v){for(auto a:v)vout(a);}

VL pri;
void prii(LL n){LL i,j,k,p,f,s,a[8]={7,11,13,17,19,23,29,31};pri.PB(2);pri.PB(3);pri.PB(5);for(i=0;i<=n;i+=30)rep(j,8)if(i+a[j]<=n){p=i+a[j],f=0,s=sqrt(p)+1;FOR(k,3,pri.size()){if(pri[k]>s)break;if(p%pri[k]==0)f=1;}if(f==0)pri.PB(p);}}

int main(){
    FAST;
    LL i,j,ans=INF,N;
    cin>>N;
    VL X(N);
    rep(i,N)cin>>X[i];
    prii(100);
    rep(i,1<<15){
        LL a=1,f=1;
        rep(j,15)if(i&(1<<j))a*=pri[j];
        rep(j,N)if(GCD(X[j],a)==1)f=0;
        if(f)chmin(ans,a);
    }
    
    cout<<ans<<endl;
}

#include <bits/stdc++.h>
#define ff first
#define ss second
#define ll long long
#define rep(i, n) for (int i = 0; i < n; i++)
using namespace std;
#define all(x) x.begin(), x.end()
const int p[] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47};
void solve() {
   int n, m = sizeof(p) / sizeof(int);
   cin >> n;
   vector <int> a(n);
   ll ans = 1e18;
   for (auto &i : a)
      cin >> i;
   for (int k = 0; k < (1 << m); k++) {
      vector <bool> vs(n);
      ll res = 1;
      for (int i = 0; i < m; i++) {
         if ((k >> i) & 1)
            continue;
         res *= p[i];
         for (int j = 0; j < n; j++) {
            if (a[j] % p[i] == 0)
               vs[j] = true;
         }
      }
      if (count(all(vs), true) == n)
         ans = min(ans, res);
   }
   cout << ans << '\n';
}
int main() {
#ifndef ONLINE_JUDGE
   freopen("inp.txt", "r", stdin);      freopen("outp.txt", "w", stdout);
#endif
   ios::sync_with_stdio(false);   cin.tie(NULL);   cout.tie(NULL);
   solve();
   return 0;
}