diff options
Diffstat (limited to 'lab1/src/main.rs')
| -rw-r--r-- | lab1/src/main.rs | 60 |
1 files changed, 58 insertions, 2 deletions
diff --git a/lab1/src/main.rs b/lab1/src/main.rs index e7a11a9..bae0284 100644 --- a/lab1/src/main.rs +++ b/lab1/src/main.rs @@ -1,3 +1,59 @@ -fn main() { - println!("Hello, world!"); +use std::io; +use std::io::Write; + +fn egcd(a: i64, b: i64) -> (i64, i64, i64) { + if a == 0 { + return (b, 0, 1); + } + let p = egcd(b % a, a); + let d = p.0; + let x1 = p.1; + let y1 = p.2; + let x = y1 - (b / a) * x1; + let y = x1; + return (d, x, y); +} + +fn main() -> io::Result<()> { + let stdin = io::stdin(); + + print!("Введите модуль m: "); + io::stdout().flush().unwrap(); + let mut m = String::new(); + stdin.read_line(&mut m)?; + let mut m = m.trim_end().parse::<i64>().unwrap(); + + print!("Введите a: "); + io::stdout().flush().unwrap(); + let mut a = String::new(); + stdin.read_line(&mut a)?; + let mut a = a.trim_end().parse::<i64>().unwrap() % m; + + print!("Введите b: "); + io::stdout().flush().unwrap(); + let mut b = String::new(); + stdin.read_line(&mut b)?; + let mut b = b.trim_end().parse::<i64>().unwrap() % m; + + let (d, _, _) = egcd(a, m); + if b % d != 0 { + println!("Сравнение не имеет решений"); + } else { + println!("Сравнение имеет {d} решений"); + a /= d; + b /= d; + m /= d; + + let (_, x, _) = egcd(a, m); + let mut x0 = (x * b) % m; + if x0 < 0 { + x0 = m + x0; + } + for i in 0..d { + print!("{} ", x0 + m * i); + } + println!(""); + } + + return Ok(()); } |