#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ($(read_value!($next, $t)),*) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => (read_value!($next, usize) - 1); ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } trait Change { fn chmax(&mut self, x: Self); fn chmin(&mut self, x: Self); } impl Change for T { fn chmax(&mut self, x: T) { if *self < x { *self = x; } } fn chmin(&mut self, x: T) { if *self > x { *self = x; } } } fn f2x_rem(mut x: usize, y: usize) -> usize { let mut count = 0; let mut cur = y; while 2 * x >= cur { cur *= 2; count += 1; } for _ in 0..count { cur >>= 1; if (x ^ cur) < x { x ^= cur; } } x } fn f2x_gcd(mut x: usize, mut y: usize) -> usize { while y != 0 { let r = f2x_rem(x, y); x = y; y = r; } x } fn f2x_mul(mut x: usize, y: usize) -> usize { let mut cur = 1; let mut prod = 0; while cur <= y { if (y & cur) != 0 { prod ^= x; } cur <<= 1; x <<= 1; } prod } // https://yukicoder.me/problems/no/937 (4) // 作れる整数は、F_2[x] の元としてみたときの A_i の gcd の倍数である。 fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} #[allow(unused)] macro_rules! putvec { ($v:expr) => { for i in 0..$v.len() { puts!("{}{}", $v[i], if i + 1 == $v.len() {"\n"} else {" "}); } } } input! { n: usize, a: [usize; n], } const W: usize = 100_001; let mut f = vec![0; W]; let mut g = 0; let mut sum = 0; for &a in &a { g = f2x_gcd(g, a); f[a] += 1; sum += a as i64; } let mut ma = 0; for i in 1..1 << 17 { let p = f2x_mul(g, i); if p >= W { continue; } let mut dec = 0; for j in 1..=(W - 1) / p { dec += f[i * j] * (i - 1) as i64 * j as i64; } if f[p] > 0 { dec += 1 as i64; } ma = max(ma, dec); } println!("{}", sum - ma); }