# include "bits/stdc++.h"
using namespace std;
using LL = long long;
using ULL = unsigned long long;
const double PI = acos(-1);
template<class T>constexpr T INF() { return ::std::numeric_limits<T>::max(); }
template<class T>constexpr T HINF() { return INF<T>() / 2; }
template <typename T_char>T_char TL(T_char cX) { return tolower(cX); };
template <typename T_char>T_char TU(T_char cX) { return toupper(cX); };
typedef pair<LL, LL> pii;
const int vy[] = { -1, -1, -1, 0, 1, 1, 1, 0 }, vx[] = { -1, 0, 1, 1, 1, 0, -1, -1 };
const int dx[4] = { 0,1,0,-1 }, dy[4] = { 1,0,-1,0 };
int popcnt(unsigned long long n) { int cnt = 0; for (int i = 0; i < 64; i++)if ((n >> i) & 1)cnt++; return cnt; }
int d_sum(LL n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; }return ret; }
int d_cnt(LL n) { int ret = 0; while (n > 0) { ret++; n /= 10; }return ret; }
LL gcd(LL a, LL b) { if (b == 0)return a; return gcd(b, a%b); };
LL lcm(LL a, LL b) { LL g = gcd(a, b); return a / g*b; };
# define ALL(qpqpq)           (qpqpq).begin(),(qpqpq).end()
# define UNIQUE(wpwpw)        sort(ALL((wpwpw)));(wpwpw).erase(unique(ALL((wpwpw))),(wpwpw).end())
# define LOWER(epepe)         transform(ALL((epepe)),(epepe).begin(),TL<char>)
# define UPPER(rprpr)         transform(ALL((rprpr)),(rprpr).begin(),TU<char>)
# define FOR(i,tptpt,ypypy)   for(LL i=(tptpt);i<(ypypy);i++)
# define REP(i,upupu)         FOR(i,0,upupu)
# define INIT                 std::ios::sync_with_stdio(false);std::cin.tie(0)

long long power(long long n, long long k, long long m) {
	if (k == 0) {
		return 1;
	}
	else if (k % 2 == 1) {
		return power(n, k - 1, m)*n%m;
	}
	else {
		long long t = power(n, k / 2, m);
		return t*t%m;
	}
}

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

int n, k;
int a[1010];
map<int, vector<int>> mp;
const LL mod = 1e9 + 7;
int main(){
    cin >> n >> k;
    REP(i, n){
        cin >> a[i];
        map<LL, int> e = primefact(a[i]);
        for(auto it = e.begin();it != e.end(); it++){
            mp[it->first].emplace_back(it->second);
        }
    }
    LL ans = 1;
    for(auto it = mp.begin(); it != mp.end();it++){
        auto vec = it->second;
        sort(ALL(vec));
        reverse(ALL(vec));
        int num = 0;
        REP(i, min((int)vec.size(), k))num += vec[i];
        (ans *= power(it->first, num, mod)) %= mod;
    }
    cout << ans << endl;
}