#include #define rep(i, n) for (int i = 0; i < (n); i++) #define repr(i, n) for (int i = (n) - 1; i >= 0; i--) #define range(a) a.begin(), a.end() using namespace std; using ll = long long; constexpr int U = 1 << 17; ll gcd(ll x, ll y) { while (y != 0) { ll r = x % y; x = y; y = r; } return x; } ll lcm(ll x, ll y) { return x / gcd(x, y) * y; } ll dat[U * 2]; ll dat2[U * 2]; ll sum[U * 2]; ll lazy[U * 2]; ll least[U * 2]; ll sz[U * 2]; constexpr ll INF = 1.01e9; void apply_set(int k, ll x) { if (x == 0) return; dat[k] = x; dat2[k] = x; sum[k] = x * sz[k]; lazy[k] = x; least[k] = x; } void push(int k) { apply_set(k * 2 + 0, lazy[k]); apply_set(k * 2 + 1, lazy[k]); lazy[k] = 0; } void pull(int k) { dat[k] = max(dat[k * 2], dat[k * 2 + 1]); dat2[k] = min(dat2[k * 2], dat2[k * 2 + 1]); sum[k] = sum[k * 2] + sum[k * 2 + 1]; least[k] = min(INF, lcm(least[k * 2], least[k * 2 + 1])); } void update_set(int a, int b, ll x, int k = 1, int l = 0, int r = U) { if (r <= a || b <= l) return; if (a <= l && r <= b) { apply_set(k, x); return; } push(k); int m = l + r >> 1; update_set(a, b, x, k * 2 + 0, l, m); update_set(a, b, x, k * 2 + 1, m, r); pull(k); } void update_gcd(int a, int b, ll g, int k = 1, int l = 0, int r = U) { if (r <= a || b <= l) return; if (a <= l && r <= b && dat[k] == dat2[k]) { apply_set(k, gcd(dat[k], g)); return; } if (lcm(least[k], g) == g) return; push(k); int m = l + r >> 1; update_gcd(a, b, g, k * 2 + 0, l, m); update_gcd(a, b, g, k * 2 + 1, m, r); pull(k); } ll query_max(int a, int b, int k = 1, int l = 0, int r = U) { if (r <= a || b <= l) return -1e18; if (a <= l && r <= b) return dat[k]; push(k); int m = l + r >> 1; ll vl = query_max(a, b, k * 2 + 0, l, m); ll vr = query_max(a, b, k * 2 + 1, m, r); return max(vl, vr); } ll query_sum(int a, int b, int k = 1, int l = 0, int r = U) { if (r <= a || b <= l) return 0; if (a <= l && r <= b) return sum[k]; push(k); int m = l + r >> 1; ll vl = query_sum(a, b, k * 2 + 0, l, m); ll vr = query_sum(a, b, k * 2 + 1, m, r); return vl + vr; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int N, Q; cin >> N >> Q; vector A(N); rep(i, U * 2) { least[i] = 1; dat[i] = -1e18; dat2[i] = 1e18; } rep(i, N) { cin >> A[i]; dat[i + U] = A[i]; dat2[i + U] = A[i]; sum[i + U] = A[i]; least[i + U] = A[i]; sz[i + U] = 1; } for (int i = U - 1; i >= 1; i--) pull(i), sz[i] = sz[i * 2] + sz[i * 2 + 1]; while (Q--) { int type; cin >> type; if (type == 1) { int l, r, x; cin >> l >> r >> x; l--; update_set(l, r, x); } else if (type == 2) { int l, r, x; cin >> l >> r >> x; l--; update_gcd(l, r, x); } else if (type == 3) { int l, r; cin >> l >> r; l--; cout << query_max(l, r) << '\n'; } else { int l, r; cin >> l >> r; l--; cout << query_sum(l, r) << '\n'; } } }