#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // #include #include #define maxs(x,y) x = max(x,y) #define mins(x,y) x = min(x,y) #define rep(i,n) for(int i=0;(i)<(n);(i)++) #define repr(i, n) for (int i = (n) - 1; i >= 0; i--) #define FOR(i,i0,n) for(int (i)=(i0);(i)<(n);(i)++) #define FORR(i,i0,n) for(int (i)=(n)-1; (i)>=(i0);(i)--) #define SORT(x) sort(x.begin(),x.end()) #define SORTR(x) sort(x.begin(),x.end(),greater()) #define fi first #define se second #define pb push_back #define eb emplace_back #define mt make_tuple using namespace std; using ll = long long; using LL = long long; using comp = complex; typedef std::pair pii; typedef std::pair pid; typedef std::vector vi; typedef std::vector vii; const double PI = 3.14159265358979323846264338327950L; int mod = 998244353; const ll INFLL = 1LL<<62; const int INF = 1<<30; comp inC(){ double x,y; cin >> x >> y; return {x,y}; } void tle(){ rep(i,2002002002002) continue; } struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } } comb(202); #ifndef ATCODER_LAZYSEGTREE_HPP #define ATCODER_LAZYSEGTREE_HPP 1 // #include "atcoder/internal_bit" #ifndef ATCODER_INTERNAL_BITOP_HPP #define ATCODER_INTERNAL_BITOP_HPP 1 #ifdef _MSC_VER #include #endif namespace atcoder { namespace internal { // @param n `0 <= n` // @return minimum non-negative `x` s.t. `n <= 2**x` int ceil_pow2(int n) { int x = 0; while ((1U << x) < (unsigned int)(n)) x++; return x; } // @param n `1 <= n` // @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0` int bsf(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } } // namespace internal } // namespace atcoder #endif // ATCODER_INTERNAL_BITOP_HPP namespace atcoder { template struct lazy_segtree { public: lazy_segtree() : lazy_segtree(0) {} explicit lazy_segtree(int n) : lazy_segtree(std::vector(n, e())) {} explicit lazy_segtree(const std::vector& v) : _n(int(v.size())) { log = internal::ceil_pow2(_n); size = 1 << log; d = std::vector(2 * size, e()); lz = std::vector(size, id()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); return d[p]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); if (l == r) return e(); l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push(r >> i); } S sml = e(), smr = e(); while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } void apply(int p, F f) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = mapping(f, d[p]); for (int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, F f) { assert(0 <= l && l <= r && r <= _n); if (l == r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template int max_right(int l) { return max_right(l, [](S x) { return g(x); }); } template int max_right(int l, G g) { assert(0 <= l && l <= _n); assert(g(e())); if (l == _n) return _n; l += size; for (int i = log; i >= 1; i--) push(l >> i); S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!g(op(sm, d[l]))) { while (l < size) { push(l); l = (2 * l); if (g(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return g(x); }); } template int min_left(int r, G g) { assert(0 <= r && r <= _n); assert(g(e())); if (r == 0) return 0; r += size; for (int i = log; i >= 1; i--) push((r - 1) >> i); S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!g(op(d[r], sm))) { while (r < size) { push(r); r = (2 * r + 1); if (g(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector d; std::vector lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if (k < size) { lz[k] = composition(f, lz[k]); if (d[k].fail) push(k), update(k); // MODIFIED!!! } } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; } // namespace atcoder #endif // ATCODER_LAZYSEGTREE_HPP /////////////////////////////////////////////////////// ACL ここまで /////////////////////////////////////////////////////// namespace RangeUpdateChgcdRangeMaxSum { constexpr int BINF = 1 << 30; struct S { int max; // 区間最大値 int lcm; // min(BINF, (区間内全要素の最大公約数)) int sz; // 区間要素数 uint64_t sum; // 区間内全要素の総和 bool fail; S() : max(0), lcm(1), sz(0), sum(0), fail(0) {} S(int x, int sz_ = 1) : max(x), lcm(x), sz(sz_), sum((uint64_t)x * sz_), fail(0) {} }; S e() { return S(); } S op(S l, S r) { if (r.sz == 0) return l; if (l.sz == 0) return r; S ret; ret.max = std::max(l.max, r.max); ret.sum = l.sum + r.sum; ret.lcm = std::min(uint64_t(BINF), (uint64_t)l.lcm * r.lcm / std::gcd(l.lcm, r.lcm)); ret.sz = l.sz + r.sz; return ret; } struct F { int dogcd, reset; F() : dogcd(0), reset(0) {} F(int g, int upd) : dogcd(g), reset(upd) {} static F gcd(int g) noexcept { return F(g, 0); } static F update(int a) noexcept { return F(0, a); } }; F composition(F fnew, F fold) { if (fnew.reset) return F::update(fnew.reset); else if (fold.reset) { return F::update(std::gcd(fnew.dogcd, fold.reset)); } else { return F::gcd(std::gcd(fnew.dogcd, fold.dogcd)); } } F id() { return F(); } S mapping(F f, S x) { if (x.fail) return x; if (f.reset) x = S(f.reset, x.sz); if (f.dogcd) { if (x.sz == 1) { x = S(std::gcd(x.max, f.dogcd)); } else if (x.lcm == BINF || f.dogcd % x.lcm) { // 区間 gcd クエリによって,複数個の要素からなる区間である値が変更を受ける場合のみ計算失敗 x.fail = true; } } return x; } using segtree = atcoder::lazy_segtree; } // namespace RangeUpdateChgcdRangeMaxSum void solve() { cin.tie(nullptr), ios::sync_with_stdio(false); int N, Q; cin >> N >> Q; vector A(N); for (auto &a : A) { int tmp; cin >> tmp, a = tmp; } RangeUpdateChgcdRangeMaxSum::segtree segtree(A); int q, l, r, x; while (Q--) { cin >> q >> l >> r; l--; if (q <= 2) { cin >> x; if (q == 1) segtree.apply(l, r, RangeUpdateChgcdRangeMaxSum::F::update(x)); if (q == 2) segtree.apply(l, r, RangeUpdateChgcdRangeMaxSum::F::gcd(x)); } else { auto v = segtree.prod(l, r); if (q == 3) cout << v.max << '\n'; if (q == 4) cout << v.sum << '\n'; } } } int main() { int T = 1; // cin >> T; while (T--) { solve(); } }