#include using namespace std; using int64 = long long; const int64 inf = 1LL << 60; struct Ushitapunichiakun { int sz; vector< int64 > lazy; vector< int64 > latte, malta, sum; vector< int64 > lcm; Ushitapunichiakun(int N) { sz = 1; while(sz < N) sz *= 2; lazy.assign(2 * sz - 1, inf); latte.assign(2 * sz - 1, -inf); malta.assign(2 * sz - 1, inf); sum.assign(2 * sz - 1, 0); lcm.assign(2 * sz - 1, 1); } void push(int k, int len) { if(lazy[k] == inf) return; if(k < sz - 1) { lazy[2 * k + 1] = lazy[k]; lazy[2 * k + 2] = lazy[k]; } latte[k] = lazy[k]; malta[k] = lazy[k]; sum[k] = lazy[k] * len; lcm[k] = lazy[k]; lazy[k] = inf; } void update(int k) { latte[k] = max(latte[2 * k + 1], latte[2 * k + 2]); malta[k] = min(malta[2 * k + 1], malta[2 * k + 2]); sum[k] = sum[2 * k + 1] + sum[2 * k + 2]; if(lcm[2 * k + 1] >= inf || lcm[2 * k + 2] >= inf) lcm[k] = inf; else lcm[k] = lcm[2 * k + 1] / __gcd(lcm[2 * k + 1], lcm[2 * k + 2]) * lcm[2 * k + 2]; } void ushi(int a, int b, int64 x, int k, int l, int r) { push(k, r - l); if(r <= a || b <= l) return; if(a <= l && r <= b) { lazy[k] = x; push(k, r - l); return; } ushi(a, b, x, 2 * k + 1, l, (l + r) / 2); ushi(a, b, x, 2 * k + 2, (l + r) / 2, r); update(k); } void ushi(int a, int b, int64 x) { ushi(a, b, x, 0, 0, sz); } int64 sum_query(int a, int b, int k, int l, int r) { push(k, r - l); if(r <= a || b <= l) return 0; if(a <= l && r <= b) return sum[k]; return sum_query(a, b, 2 * k + 1, l, (l + r) / 2) + sum_query(a, b, 2 * k + 2, (l + r) / 2, r); } int64 sum_query(int a, int b) { return sum_query(a, b, 0, 0, sz); } int64 max_query(int a, int b, int k, int l, int r) { push(k, r - l); if(r <= a || b <= l) return -inf; if(a <= l && r <= b) return latte[k]; return max(max_query(a, b, 2 * k + 1, l, (l + r) / 2), max_query(a, b, 2 * k + 2, (l + r) / 2, r)); } int64 max_query(int a, int b) { return max_query(a, b, 0, 0, sz); } void tapu(int a, int b, int64 x, int k, int l, int r) { push(k, r - l); if(r <= a || b <= l || x % lcm[k] == 0) return; if(a <= l && r <= b && latte[k] == malta[k]) { lazy[k] = __gcd(latte[k], x); push(k, r - l); return; } tapu(a, b, x, 2 * k + 1, l, (l + r) / 2); tapu(a, b, x, 2 * k + 2, (l + r) / 2, r); update(k); } void tapu(int a, int b, int64 x) { tapu(a, b, x, 0, 0, sz); } void set(int k, int64 x) { k += sz - 1; latte[k] = x; malta[k] = x; sum[k] = x; lcm[k] = x; } void build() { for(int k = sz - 2; k >= 0; k--) update(k); } }; int main() { int N, Q; cin >> N >> Q; Ushitapunichiakun wara(N); for(int i = 0; i < N; i++) { int64 x; cin >> x; wara.set(i, x); } wara.build(); for(int i = 0; i < Q; i++) { int t; cin >> t; if(t == 1) { int l, r, x; cin >> l >> r >> x; --l; wara.ushi(l, r, x); } else if(t == 2) { int l, r, x; cin >> l >> r >> x; --l; wara.tapu(l, r, x); } else if(t == 3) { int l, r; cin >> l >> r; --l; cout << wara.max_query(l, r) << "\n"; } else { int l, r; cin >> l >> r; --l; cout << wara.sum_query(l, r) << "\n"; } } }