#include #pragma GCC optimize("O3", "unroll-loops") #pragma GCC target("avx") using namespace std; using lint = long long int; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((lint)(x).size()) #define POW2(n) (1LL << (n)) #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template istream &operator>>(istream &is, vector &vec){ for (auto &v : vec) is >> v; return is; } ///// This part below is only for debug, not used ///// template ostream &operator<<(ostream &os, const vector &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const deque &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const pair &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; } template ostream &operator<<(ostream &os, const map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; ///// END ///// vector makePrimeLst(int N) { vector ans; vector alive(N+1, 1); lint now = 2; for (; now * now <= N; now++) { if (alive[now]) ans.push_back(now); for (int t = now; t <= N; t += now) alive[t] = 0; } for (; now <= N; now++) if (alive[now]) ans.push_back(now); return ans; } // 素因数分解 unordered_map primeFactorize(int N, const vector &primeLst) { unordered_map ans; for (auto v : primeLst) { int n = 0; while (!(N % v)) { N /= v; n++; } if (n) ans[v] = n; if (N == 1) return ans; } ans[N]++; return ans; } int main() { vector primes = makePrimeLst(45); int N; cin >> N; vector A(N); cin >> A; vector> rc(2000); REP(i, N) { auto v = primeFactorize(A[i], primes); for (auto pa : v) { if (rc[pa.first].size() == 0) rc[pa.first].resize(N + 1); rc[pa.first][i + 1] += pa.second; } } REP(d, 2000) if (rc[d].size()) { REP(i, N) rc[d][i + 1] += rc[d][i]; } int Q; cin >> Q; REP(_, Q) { int P, L, R; cin >> P >> L >> R; REP(d, 2000) if (rc[d].size()) { if (P < d) break; int n = rc[d][R] - rc[d][L - 1]; while (n and P % d == 0) { n--; P /= d; } } // unordered_map p = primeFactorize(P, primes); // bool flg = true; // for (auto pa : p) // { // if (pa.first > 2000 or rc[pa.first].size() == 0 or rc[pa.first][R] - rc[pa.first][L - 1] < pa.second) // { // flg = false; // break; // } // } if (P == 1) puts("Yes"); else puts("NO"); } }