rufl 0.1.3

A powerful util function library for rust
Documentation 
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use std::ops::{Div, Mul, Rem};

use super::integer::Integer;

/// return least common multiple (lcm) of integers.
///
/// # Arguments
///
/// * `numbers` - The integers to calculate lcm.
///
/// # Returns
///
/// Common multiple of integers.
///
/// # Examples
///
/// ```
/// use rufl::math;
///
/// assert_eq!(6, math::lcm(&vec![6]));
///
/// assert_eq!(168, math::lcm(&vec![6, 7, 8]));
///
/// ```

pub fn lcm<T>(numbers: &Vec<T>) -> T
where
    T: Integer + Mul<Output = T> + Div<Output = T> + Rem<Output = T>,
{
    if numbers.is_empty() {
        return T::MIN;
    }

    let mut result = numbers[0];

    for n in &numbers[1..] {
        result = calculate_lcm(*n, result);
    }

    result
}

pub(crate) fn calculate_lcm<T: Integer>(a: T, b: T) -> T
where
    T: Integer + Mul<Output = T> + Div<Output = T> + Rem<Output = T>,
{
    let gcd_value = crate::math::calculate_gcd(a, b);
    a * b / gcd_value
}
#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_lcm() {
        assert_eq!(6, lcm(&vec![6]));
        assert_eq!(18, lcm(&vec![9, 6]));
        assert_eq!(168, lcm(&vec![6, 7, 8]));
    }
}