use std::collections::{BTreeMap, BTreeSet}; fn main() { inputv! { n:usize,k:usize } let mut m = BTreeMap::new(); let mut s = BTreeSet::new(); for x in PrimeFactorization::calc(n) { *m.entry(x).or_insert(0) += 1; } let mut ans = 1; let mut ans_p = BTreeMap::new(); let mut q = 0; while q < k { for (&i, x) in m.iter_mut() { if *x == 0 { continue; } ans *= i; *ans_p.entry(i).or_insert(0) += 1; *x -= 1; s.insert(i); q += 1; if q >= k { break; } } } let pl = get_primelist(n); for i in pl { if s.contains(&i) { continue; } if ans * i >= n { break; } *ans_p.entry(i).or_insert(0) += 1; ans *= i; } let mut ans_p = ans_p .iter() .map(|(q, w)| (*w, *q)) .filter(|(q, w)| ans * *w < n) .collect::>(); ans_p.sort(); let mut flag = false; while !flag { flag = true; for (i, x) in ans_p.iter_mut() { if *x * ans < n { *i += 1; ans *= *x; flag = false; } } } println!("{}", ans); } //https://github.com/manta1130/competitive-template-rs pub mod input { use std::cell::RefCell; use std::io; pub const SPLIT_DELIMITER: char = ' '; pub use std::io::prelude::*; #[macro_export] thread_local! { pub static INPUT_BUFFER:RefCell>=RefCell::new(std::collections::VecDeque::new()); } #[macro_export] macro_rules! inputv { ( $($x:ident : $t:ty),*) => { $( INPUT_BUFFER.with(|p| if p.borrow().len()==0{ let temp_str = input_line_str(); let mut split_result_iter = temp_str.split(SPLIT_DELIMITER).map(|q|q.to_string()).collect::>(); p.borrow_mut().append(&mut split_result_iter) }); let mut buf_split_result=String::new(); INPUT_BUFFER.with(|p| buf_split_result = p.borrow_mut().pop_front().unwrap()); let $x:$t = buf_split_result.parse().unwrap(); )* }; } #[macro_export] macro_rules! input_all { ( $($x:ident : $t:ty),*) => { $( INPUT_BUFFER.with(|p| if p.borrow().len()==0{ let mut temp_str = String::new(); std::io::stdin().read_to_string(&mut temp_str).unwrap(); let mut split_result_iter = temp_str.split_whitespace().map(|q|q.to_string()).collect::>(); p.borrow_mut().append(&mut split_result_iter) }); let mut buf_split_result=String::new(); INPUT_BUFFER.with(|p| buf_split_result = p.borrow_mut().pop_front().unwrap()); let ($x):($t) = buf_split_result.parse().unwrap(); )* }; } pub fn input_line_str() -> String { let mut s = String::new(); io::stdin().read_line(&mut s).unwrap(); s.trim().to_string() } #[allow(clippy::match_wild_err_arm)] pub fn input_vector() -> Vec where T: std::str::FromStr, { let mut v: Vec = Vec::new(); let s = input_line_str(); let split_result = s.split(SPLIT_DELIMITER); for z in split_result { let buf = match z.parse() { Ok(r) => r, Err(_) => panic!("Parse Error",), }; v.push(buf); } v } #[allow(clippy::match_wild_err_arm)] pub fn input_vector_row(n: usize) -> Vec where T: std::str::FromStr, { let mut v = Vec::with_capacity(n); for _ in 0..n { let buf = match input_line_str().parse() { Ok(r) => r, Err(_) => panic!("Parse Error",), }; v.push(buf); } v } pub trait ToCharVec { fn to_charvec(&self) -> Vec; } impl ToCharVec for String { fn to_charvec(&self) -> Vec { self.to_string().chars().collect::>() } } } pub mod primenumber { use std::iter::Iterator; type ValueType = usize; pub struct PrimeFactorization { n: ValueType, cur: ValueType, } impl PrimeFactorization { pub fn calc(n: ValueType) -> PrimeFactorization { PrimeFactorization { n, cur: 1 } } } impl Iterator for PrimeFactorization { type Item = ValueType; fn next(&mut self) -> Option { loop { if self.cur == 0 || self.cur > self.n { return None; } self.cur += 1; if self.cur * self.cur > self.n { if self.n != 1 { self.cur = 0; return Some(self.n); } return None; } if self.n % self.cur == 0 { self.n /= self.cur; self.cur -= 1; return Some(self.cur + 1); } } } } pub fn get_primelist(u: usize) -> Vec { let mut v = vec![true; u + 1]; let mut r = vec![]; for i in 2..=u { if v[i] { r.push(i); let mut j = i * 2; while j <= u { v[j] = false; j += i; } } } r } } use input::*; use primenumber::*;