#include <bits/stdc++.h>
#define syosu(x) fixed<<setprecision(x)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> P;
typedef pair<double,double> pdd;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<string> vs;
typedef vector<P> vp;
typedef vector<vp> vvp;
typedef vector<pll> vpll;
typedef pair<int,P> pip;
typedef vector<pip> vip;
const int inf=1<<30;
const ll INF=1ll<<60;
const double pi=acos(-1);
const double eps=1e-9;
const ll mod=998244353;
const int dx[4]={0,1,0,-1},dy[4]={1,0,-1,0};

ll gcd(ll a,ll b){
	if(!b) return a;
	return gcd(b,a%b);
}

int n;
vl a;

int main(){
	cin>>n;
	a=vl(n);
	for(int i=0;i<n;i++) cin>>a[i];
	sort(a.begin(),a.end());
	ll t=a[0];
	for(int i=1;i<n;i++) (t*=gcd(a[i],i)%mod)%=mod;
	cout<<t<<endl;
}