#include #include #include #include #include int64_t gcd(int64_t a, int64_t b) { if (a < b) return gcd(b, a); if (b == 0) return a; return gcd(b, a % b); } struct S { int64_t sum = 0, max = 0; int count = 0; }; S op(S a, S b) { return {a.sum + b.sum, a.max > b.max ? a.max : b.max, a.count + b.count}; } S e() { return {}; } S mapping(int64_t f, S x) { if (f < 0) return x; return {f * x.count, f, x.count}; } int64_t composition(int64_t f, int64_t g) { if (f < 0) return g; return f; } int64_t id() { return -1; } int main() { int N, Q; std::cin >> N >> Q; std::vector A(N); for (S &a : A) std::cin >> a.sum, a.max = a.sum, a.count = 1; atcoder::lazy_segtree seg(A); std::map> intervals; int i = 0; while (i < N) { int j = i + 1; while (j < N && A[i].sum == A[j].sum) j++; intervals[i] = {j, A[i].sum}; i = j; } while (Q--) { int t, l, r; std::cin >> t >> l >> r; l--; if (t == 1) { int64_t y; std::cin >> y; seg.apply(l, r, y); auto start = intervals.lower_bound(l); if (start != intervals.begin() && l < std::prev(start)->second.first) { if (std::prev(start)->second.first > r) { start = intervals.emplace(r, std::prev(start)->second).first; } std::prev(start)->second.first = l; } auto stop = intervals.lower_bound(r); if (stop != intervals.begin() && r < std::prev(stop)->second.first) { stop = intervals.emplace(r, std::prev(stop)->second).first; } intervals.erase(start, stop); intervals[l] = {r, y}; } else if (t == 2) { int64_t x; std::cin >> x; auto start = intervals.lower_bound(l); if (start != intervals.begin() && l < std::prev(start)->second.first) { if (std::prev(start)->second.first > r) { start = intervals.emplace(r, std::prev(start)->second).first; } start = intervals.emplace(l, std::prev(start)->second).first; std::prev(start)->second.first = l; } auto stop = intervals.lower_bound(r); if (stop != intervals.begin() && r < std::prev(stop)->second.first) { stop = intervals.emplace(r, std::prev(stop)->second).first; std::prev(stop)->second.first = r; } auto iter = start; while (iter != stop) { int nl = iter->first; auto &[nr, val] = iter->second; val = gcd(val, x); seg.apply(nl, nr, val); if (iter != intervals.begin() && nl == std::prev(iter)->second.first && val == std::prev(iter)->second.second) { std::prev(iter)->second.first = nr; iter = intervals.erase(iter); } else iter++; } } else if (t == 3) { std::cout << seg.prod(l, r).max << std::endl; } else { std::cout << seg.prod(l, r).sum << std::endl; } } }