#include using namespace std; using ll=int64_t; #define REP(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define RER(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) template void input(T &x, size_t n) { for(int i = 0; i < n; i++) { cin >> x[i]; } } //=====debug====== void* enabler; #define debug(...) cout << __VA_ARGS__ << endl; template class has_begin_and_end { private: template static auto check( U v ) -> decltype( v.begin(), v.end(), std::true_type() ); static auto check( ... ) -> decltype( std::false_type() ); public: typedef decltype( check( std::declval() ) ) type; static bool const value = type::value; }; template class has_top_and_pop { private: template static auto check( U v ) -> decltype( v.empty(), v.top(), v.pop(), std::true_type() ); static auto check( ... ) -> decltype( std::false_type() ); public: typedef decltype( check( std::declval() ) ) type; static bool const value = type::value; }; template class has_front_and_pop { private: template static auto check( U v ) -> decltype( v.empty(), v.front(), v.pop(), std::true_type() ); static auto check( ... ) -> decltype( std::false_type() ); public: typedef decltype( check( std::declval() ) ) type; static bool const value = type::value; }; template::value>::type*& = enabler> void output(const T& val){ auto it = val.begin(); cout << (*it++); for(; it != val.end(); ++it) cout << ' ' << (*it); cout << endl; } template::value>::type*& = enabler> void output(T val){ while(!val.empty()){ debug(val.top()); val.pop(); } } template::value>::type*& = enabler> void output(T val){ while(!val.empty()){ debug(val.front()); val.pop(); } } template ostream& operator<<(ostream& os, const pair& v) { os << "(" << v.first << ", " << v.second << ")"; return os; } const int MOD = 1e9+7; void extgcd(ll a, ll b, ll& x, ll& y) { if (b != 0) { extgcd(b, a%b, y, x); y -= a / b * x; } else { x = 1; y = 0; } } ll inv_mod(ll a, ll m) { ll x, y; extgcd(a, m, x, y); return (m + x % m) % m; } ll res = 1LL; ll n, k; ll a[1024]; void dfs(int index, int count, ll val) { if(index == n) { if(count == k) { res = (res * inv_mod(__gcd(res, val), MOD) * val) % MOD; } else { return; } } for(int i = index; i < n; i++) { dfs(index+1, count+1, val*a[i]); dfs(index+1, count, val); } return; } int main() { cin >> n >> k; vector b; input(a, n); dfs(0, 0, 1LL); cout << res << endl; }