エジプトの分数

/*
 * 出典元「C言語による最新アルゴリズム事典」奥村晴彦著 - P14
 * インデントは変更してあります。
 * 他にも、メッセージや変数名や処理を変更している場合があります。
 */

#include <stdio.h>

int main()
{
    int m, n, q;

    printf("numerator m=? ");
    scanf("%d", &m);

    printf("denominator n=? ");
    scanf("%d", &n);

    printf("%d/%d = ", m, n);
    while (n % m != 0)
    {
        q = n / m + 1;
        printf("1/%d + ", q);
        m = m * q - n;
        n = n * q;
    }
    printf("1/%d\n", n / m);
}

(let ((m (read-number "numerator m=? "))
      (n (read-number "denominator n=? "))
      q)
  (message (with-output-to-string
             (princ (format "%d/%d = " m n))
             (while (not (zerop (% n m)))
               (setq q (+ (/ n m) 1))
               (princ (format "1/%d + " q))
               (setq m (- (* m q) n))
               (setq n (* n q)))
             (princ (format "1/%d" (/ n m))))))

#!/bin/bash

read -p "numerator m=? " m
read -p "denominator n=? " n

printf "%d/%d = " $m $n

while [ $(( $n % $m )) -ne 0 ]
do
    q=$(( $n / $m + 1))
    printf "1/%d + " $q
    m=$(( $m * $q - $n))
    n=$(( $n * $q ))
done

printf "1/%d\n" $(($n / $m ))

#!/usr/bin/fish

read -P "numerator m=? " m
read -P "denominator n=? " n

printf "%d/%d = " $m $n

while test (math $n % $m ) -ne 0
    set q (math -s0 $n / $m + 1)
    printf "1/%d + " $q
    set m (math "$m * $q - $n")
    set n (math "$n * $q")
end

printf "1/%d\n" (math -s0 $n / $m)