#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#undef _P
#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
//-------------------------------------------------------

int N,K;
int A[101010];
ll mo=1000000007;
map<int,vector<int>> V;

ll modpow(ll a, ll n = mo-2) {
	ll r=1;
	while(n) r=r*((n%2)?a:1)%mo,a=a*a%mo,n>>=1;
	return r;
}

map<ll,int> enumpr(ll n) {
	map<ll,int> V;
	for(ll i=2;i*i<=n;i++) while(n%i==0) V[i]++,n/=i;
	if(n>1) V[n]++;
	return V;
}

void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>N>>K;
	FOR(i,N) {
		cin>>x;
		auto MM=enumpr(x);
		FORR(r,MM) V[r.first].push_back(r.second);
	}
	ll ret=1;
	FORR(r,V) {
		auto VV=r.second;
		sort(ALL(VV));
		reverse(ALL(VV));
		y=0;
		FOR(x,min(K,(int)VV.size())) y+=VV[x];
		(ret *= modpow(r.first,y))%=mo;
	}
	cout<<ret<<endl;
	
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false);
	FOR(i,argc-1) s+=argv[i+1],s+='\n';
	FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	solve(); return 0;
}