// ---------- 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; use std::cmp::*; 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; fn lcm(a: u64, b: u64) -> u64 { if a >= INF || b >= INF { return INF; } let g = gcd(a, b); std::cmp::min(INF, a * b / g) } struct Node { sum: u64, lcm: u64, max: u64, len: u64, } impl Node { fn new(v: u64) -> Self { assert!(1 <= v && v <= 1_000_000_000); Node { sum: v, lcm: v, max: v, len: 1, } } fn merge(&self, rhs: &Self) -> Self { Node { sum: self.sum + rhs.sum, lcm: lcm(self.lcm, rhs.lcm), max: max(self.max, rhs.max), len: self.len + rhs.len, } } fn set(&mut self, v: u64) { self.sum = v * self.len; self.lcm = v; self.max = v; } fn chgcd_break(&self, v: u64) -> bool { self.lcm != INF && v % self.lcm == 0 } fn chgcd_tag(&self) -> bool { self.sum == self.max * self.len } fn chgcd(&mut self, v: u64) { let v = gcd(self.max, v); self.set(v); } fn only(&self) -> Option { if self.sum == self.max * self.len { Some(self.max) } else { None } } } fn propagate(k: usize, node: &mut [Node]) { node[k].only().map(|v| { for p in node[(2 * k)..].iter_mut().take(2) { p.set(v); } }); } fn update_set(k: usize, l: usize, r: usize, x: usize, y: usize, v: u64, node: &mut [Node]) { if r <= x || y <= l { return; } if x <= l && r <= y { node[k].set(v); return; } propagate(k, node); let mid = (l + r) / 2; update_set(2 * k, l, mid, x, y, v, node); update_set(2 * k + 1, mid, r, x, y, v, node); node[k] = node[2 * k].merge(&node[2 * k + 1]); } fn update_gcd(k: usize, l: usize, r: usize, x: usize, y: usize, v: u64, node: &mut [Node]) { if r <= x || y <= l || node[k].chgcd_break(v) { return; } if x <= l && r <= y || node[k].chgcd_tag() { node[k].chgcd(v); return; } propagate(k, node); let mid = (l + r) / 2; update_gcd(2 * k, l, mid, x, y, v, node); update_gcd(2 * k + 1, mid, r, x, y, v, node); node[k] = node[2 * k].merge(&node[2 * k + 1]); } fn find_max(k: usize, l: usize, r: usize, x: usize, y: usize, node: &mut [Node]) -> u64 { if r <= x || y <= l { return 0; } if x <= l && r <= y { return node[k].max; } propagate(k, node); let mid = (l + r) / 2; let a = find_max(2 * k, l, mid, x, y, node); let b = find_max(2 * k + 1, mid, r, x, y, node); max(a, b) } fn find_sum(k: usize, l: usize, r: usize, x: usize, y: usize, node: &mut [Node]) -> u64 { if r <= x || y <= l { return 0; } if x <= l && r <= y { return node[k].sum; } propagate(k, node); let mid = (l + r) / 2; let a = find_sum(2 * k, l, mid, x, y, node); let b = find_sum(2 * k + 1, mid, r, x, y, node); a + b } 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 size = n.next_power_of_two(); let mut node = (0..(2 * size)).map(|_| Node::new(1)).collect::>(); for (i, p) in node[size..].iter_mut().take(n).enumerate() { let d = if i == n - 1 {b'\n'} else {b' '}; p.set(sc.next(d)); } for i in (1..size).rev() { node[i] = node[2 * i].merge(&node[2 * i + 1]); } 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 { update_set(1, 0, size, l, r, x, &mut node); } else if op == 2 { update_gcd(1, 0, size, l, r, x, &mut node); } else if op == 3 { let ans = find_max(1, 0, size, l, r, &mut node); writeln!(out, "{}", ans).ok(); } else { let ans = find_sum(1, 0, size, l, r, &mut node); writeln!(out, "{}", ans).ok(); } } }