use std::io::Write; use std::collections::*; type Map = BTreeMap; type Set = BTreeSet; type Deque = VecDeque; fn run() { input! { n: i64, m: usize, a: i64, b: i64, c: [i64; m], } let mut c = c; c.sort(); let mut divisor = vec![]; for i in (1..).take_while(|i| i * i <= n) { if n % i == 0 { for &d in [i, n / i].iter() { divisor.push((d, c.binary_search(&d).is_err())); } } } divisor.extend(c.iter().map(|c| (*c, false))); divisor.sort(); divisor.dedup(); let inf = std::i64::MAX / 2; let mut dp = vec![inf; divisor.len()]; dp[0] = 0; for i in 0..divisor.len() { let (d, ok) = divisor[i]; if !ok || d == inf { continue; } let v = dp[i]; for j in (i + 1)..divisor.len() { if divisor[j].0 % d == 0 { if !divisor[j].1 { break; } dp[j] = dp[j].min(v + (divisor[j].0 / d - 1) * a + b); } } } let mut ans = dp[divisor.len() - 1]; if ans >= inf { ans = b - 1; } ans -= b; println!("{}", ans); } fn main() { run(); } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } #[macro_export] macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } #[macro_export] macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ----------