// begin おためしbeats pub trait Beats { type Value: Clone; type Query; fn merge(l: &Self::Value, r: &Self::Value) -> Self::Value; fn break_cond(x: &Self::Value, f: &Self::Query) -> bool; fn tag_cond(x: &Self::Value, f: &Self::Query) -> bool; fn update(x: &mut Self::Value, f: &Self::Query); fn propagate(p: &mut Self::Value, c: &mut [Self::Value]); fn e() -> Self::Value; } struct SegmentTreeBeats { size: usize, val: Box<[R::Value]>, dfs: Vec<(usize, usize, usize)>, } impl SegmentTreeBeats { fn new(ini: &[R::Value]) -> Self { let size = ini.len().next_power_of_two(); let val = vec![R::e(); 2 * size]; let mut val = val.into_boxed_slice(); val[size..(size + ini.len())].clone_from_slice(ini); for i in (1..size).rev() { val[i] = R::merge(&val[2 * i], &val[2 * i + 1]); } SegmentTreeBeats { size, val, dfs: vec![], } } fn update(&mut self, x: usize, y: usize, f: &R::Query) { 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] = R::merge(&val[2 * k], &val[2 * k + 1]); continue; } if R::break_cond(&val[k], f) { continue; } if x <= l && r <= y && R::tag_cond(&val[k], f) { R::update(&mut val[k], f); continue; } let (a, b) = val.split_at_mut(2 * k); R::propagate(&mut a[k], &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)); } } } fn find(&mut self, x: usize, y: usize) -> R::Value { assert!(x <= y && y <= self.size); let mut res = R::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 = R::merge(&res, &val[k]); continue; } let (a, b) = val.split_at_mut(2 * k); R::propagate(&mut a[k], &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 } } // end おためしbeats // ---------- 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); } fn gcd(a: u64, b: u64) -> u64 { if b == 0 { a } else { gcd(b, a % b) } } const INF: u64 = 1_000_000_000 + 1; #[derive(Clone, Debug)] struct Value { lcm: u64, max: u64, sum: u64, len: u64, } enum Update { Set(u64), Chgcd(u64), } struct Yuki880; impl Beats for Yuki880 { type Value = Value; type Query = Update; fn merge(l: &Self::Value, r: &Self::Value) -> Self::Value { Value { lcm: std::cmp::min(INF, l.lcm * r.lcm / gcd(l.lcm, r.lcm)), max: std::cmp::max(l.max, r.max), sum: l.sum + r.sum, len: l.len + r.len, } } fn break_cond(x: &Self::Value, f: &Self::Query) -> bool { match *f { Update::Set(_) => false, Update::Chgcd(ref y) => y % x.lcm == 0, } } fn tag_cond(x: &Self::Value, f: &Self::Query) -> bool { match *f { Update::Set(_) => true, Update::Chgcd(_) => x.sum == x.max * x.len, } } fn update(x: &mut Self::Value, f: &Self::Query) { match *f { Update::Set(ref v) => { x.lcm = *v; x.max = *v; x.sum = *v * x.len; }, Update::Chgcd(ref y) => { let v = gcd(*y, x.max); x.lcm = v; x.max = v; x.sum = v * x.len; }, } } fn propagate(p: &mut Self::Value, c: &mut [Self::Value]) { let v = p.max; if v * p.len == p.sum { for c in c.iter_mut() { c.lcm = v; c.max = v; c.sum = v * c.len; } } } fn e() -> Self::Value { Value { lcm: 1, max: 0, sum: 0, len: 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::::new(&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, &Update::Set(x)); } else if op == 2 { seg.update(l, r, &Update::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(); } } }