pub trait Monoid: Sized { fn merge(&self, rhs: &Self) -> Self; fn e() -> Self; fn push(&mut self, c: &mut [Self]); } pub trait Effect { fn break_cond(&self, x: &X) -> bool; fn tag_cond(&self, x: &X) -> bool; fn update(&self, x: &mut X); } pub struct SegmentTreeBeats { size: usize, val: Box<[T]>, dfs: Vec<(usize, usize, usize)>, } impl SegmentTreeBeats { pub fn update>(&mut self, x: usize, y: usize, f: E) { assert!(x <= y && y <= self.size); if x >= y { return; } let val = &mut self.val; self.dfs.push((1, 0, self.size)); while let Some((k, l, r)) = self.dfs.pop() { if k > 2 * self.size { let k = !k; val[k] = val[2 * k].merge(&val[2 * k + 1]); continue; } if f.break_cond(&val[k]) { continue; } if x <= l && r <= y && f.tag_cond(&val[k]) { f.update(&mut val[k]); continue; } let (a, b) = val.split_at_mut(2 * k); a[k].push(&mut b[..2]); self.dfs.push((!k, l, r)); let m = (l + r) / 2; if m < y { self.dfs.push((2 * k + 1, m, r)); } if x < m { self.dfs.push((2 * k, l, m)); } } } pub fn find(&mut self, x: usize, y: usize) -> T { assert!(x <= y && y <= self.size); let mut res = T::e(); if x >= y { return res; } let val = &mut self.val; self.dfs.push((1, 0, self.size)); while let Some((k, l, r)) = self.dfs.pop() { if x <= l && r <= y { res = res.merge(&val[k]); continue; } let (a, b) = val.split_at_mut(2 * k); a[k].push(&mut b[..2]); let m = (l + r) / 2; if m < y { self.dfs.push((2 * k + 1, m, r)); } if x < m { self.dfs.push((2 * k, l, m)); } } res } } impl SegmentTreeBeats { pub fn build(a: &[T]) -> Self { let size = a.len().next_power_of_two(); let val = vec![T::e(); 2 * size]; let mut val = val.into_boxed_slice(); val[size..(size + a.len())].clone_from_slice(a); for i in (1..size).rev() { val[i] = val[2 * i].merge(&val[2 * i + 1]); } SegmentTreeBeats { size, val, dfs: vec![], } } } // end おためしbeats // ---------- begin binary_gcd ---------- pub fn gcd(a: u64, b: u64) -> u64 { if a == 0 || b == 0 { return a + b; } let x = a.trailing_zeros(); let y = b.trailing_zeros(); let mut a = a >> x; let mut b = b >> y; while a != b { let x = (a ^ b).trailing_zeros(); if a < b { std::mem::swap(&mut a, &mut b); } a = (a - b) >> x; } a << x.min(y) } // ---------- end binary_gcd ---------- // ---------- begin Scanner(require delimiter) ---------- mod scanner { pub struct Scanner { reader: R, buf: Vec, } #[allow(dead_code)] impl Scanner { pub fn new(reader: R) -> Self { Scanner { reader: reader, buf: Vec::with_capacity(1024), } } fn read(&mut self, del: u8) { self.buf.clear(); self.reader.read_until(del, &mut self.buf).ok(); assert!(self.buf.pop().unwrap() == del); } pub fn next(&mut self, del: u8) -> T { self.read(del); std::str::from_utf8(&self.buf) .unwrap() .trim() .parse::() .ok() .unwrap() } pub fn next_bytes(&mut self, del: u8) -> Vec { self.read(del); std::str::from_utf8(&self.buf) .unwrap() .trim() .bytes() .collect() } } } // ---------- end scanner(require delimiter) ---------- use std::io::Write; fn main() { let stdin = std::io::stdin(); let mut sc = scanner::Scanner::new(stdin.lock()); run(&mut sc); } const INF: u64 = 1_000_000_000 + 1; fn lcm(a: u64, b: u64) -> u64 { if a >= INF || b >= INF { return INF; } let g = gcd(a, b); INF.min(a * b / g) } #[derive(Clone)] struct Value { lcm: u64, max: u64, sum: u64, len: u64, } impl Monoid for Value { fn merge(&self, rhs: &Self) -> Self { Self { lcm: lcm(self.lcm, rhs.lcm), max: self.max.max(rhs.max), sum: self.sum + rhs.sum, len: self.len + rhs.len, } } fn e() -> Self { Self { lcm: 1, max: 0, sum: 0, len: 0, } } fn push(&mut self, c: &mut [Self]) { let v = self.max; if v * self.len == self.sum { for c in c.iter_mut() { c.assign(v); } } } } impl Value { fn assign(&mut self, v: u64) { self.lcm = v; self.max = v; self.sum = self.len * v; } } struct Chgcd(u64); impl Effect for Chgcd { fn break_cond(&self, x: &Value) -> bool { self.0 % x.lcm == 0 } fn tag_cond(&self, x: &Value) -> bool { x.max * x.len == x.sum } fn update(&self, x: &mut Value) { let v = gcd(self.0, x.max); x.assign(v); } } struct Set(u64); impl Effect for Set { fn break_cond(&self, _: &Value) -> bool { false } fn tag_cond(&self, _: &Value) -> bool { true } fn update(&self, x: &mut Value) { x.assign(self.0); } } fn run(sc: &mut scanner::Scanner) { let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); let n: usize = sc.next(b' '); let q: usize = sc.next(b'\n'); let mut ini = Vec::with_capacity(n); for i in 0..n { let d = if i == n - 1 {b'\n'} else {b' '}; let v: u64 = sc.next(d); ini.push(Value { lcm: v, max: v, sum: v, len: 1, }); } let mut seg = SegmentTreeBeats::build(&ini); for _ in 0..q { let op: u8 = sc.next(b' '); let (l, r, x) = if op <= 2 { let l: usize = sc.next(b' '); let r: usize = sc.next(b' '); let x: u64 = sc.next(b'\n'); (l - 1, r, x) } else { let l: usize = sc.next(b' '); let r: usize = sc.next(b'\n'); (l - 1, r, 0) }; if op == 1 { seg.update(l, r, Set(x)); } else if op == 2 { seg.update(l, r, Chgcd(x)); } else if op == 3 { let ans = seg.find(l, r).max; writeln!(out, "{}", ans).ok(); } else { let ans = seg.find(l, r).sum; writeln!(out, "{}", ans).ok(); } } }