#include <bits/stdc++.h>
using namespace std;
int main(void){
    const int spfs=1000001;
    long long spf[spfs]={};
    for(long long i=2;i<spfs;i++){
        if(spf[i]==0){
            spf[i]=i;
            for(long long j=i*i;j<spfs;j+=i){
                if(spf[j]==0)spf[j]=i;
            }
        }
    }
    int n,k;
    cin>>n>>k;
    int t=n/k*(k-1)+n%k+1;
    vector<int>v(spfs,0);
    for(int i=0;i<n;i++){
        int a;
        cin>>a;
        int now=1,bef=-1;
        while(a!=1){
            if(bef!=spf[a]){
                bef=spf[a];
                now=spf[a];
            }else{
                now*=spf[a];
            }
            v[now]++;
            a/=spf[a];
        }
    }
    long long ans=1;
    for(int i=2;i<spfs;i++){
        if(spf[i]==i){
            if(v[i]<t)continue;
            long long now=i;
            while(now*i<spfs&&v[now*i]>=t){
                now*=i;
            }
            ans*=now;
            ans%=998244353;
        }
    }
    cout<<ans<<endl;
    return 0;
}