10-26 Exercise 1: Calculates and displays the GCD of 2 integers

Question

Write a program that asks the user to enter two integers, then calculates and displays their greatest common divisor (GCD).

寫一個輸入兩個整數 輸出它們的最大公因數程式

Hint: Use Euclidean Algorithm

使用歐幾里得演算法

Example input: 

12 28

Example output:

4

 

Answer 1

Hidden content!
*** **   **** *  

int ** 
{
int a, b;
*** **  ** ******  ***   * * ****  * *   
****  **** *  * *** *  ***   * 
{
  *   * 
    *
else
**   *
}
*    
  * **** **  ** ****
else
 *  *****  * ** **** ** 

*    0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 2

Hidden content!
* *  *  * **   * * 
int main (void)
{
int a,b,c;
   * *** ** * *** * ***       
***  ****** *****  **  * * *
while ( a % b != 0){
***     * **  ***  ***   *** * 
    *** ** *     **  * *
 *  ***   *****  *  *  ***
}
 * ***  * *   * * *  ****
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 3

Hidden content!
#include <stdio.h>
#include  **  ****** *  *  *
int a,b;
int i;
int GCD=0;
int remainder, coefficient;
int main()
{
*   * *  *   ** *   **  **** * *** ***  *     * **** ** *  *  ** **  *
  *    **  **** *    ** *  = a % b;
*  ** * *  ***   * * *  *   * (b!=0){
 * *** * ** ** ** *  ** ***  *** ****** * ******   
**  *****     **   *** * * **  **   ***     ** *    **   *       

  **** *** *    *   *****  ***     **       *  ***
** **  ** *** * *** * *   * *   *         ** ** * * **   * * *  *  *

    *  ** **    * *  * * * ** 
 *        *  * **** **      (a==0){GCD=b;}
    **  *  **** ****    **** ***   (b==0){GCD=a;}
    * **      ***   *  * ***** ***  *  * **  * **** * ** 
  *******  ** **   *   *  *  ** * *  *   0;
}

Comments

prog.c:6:5: error: built-in function 'remainder' declared as non-function [-Werror]
 int remainder, coefficient;
     ^~~~~~~~~
cc1: all warnings being treated as errors

Answer 4

Hidden content!
#include  *  **      * **
int main(void)

{
*   ** ****  **    *    *  **  a1, a2, i, gcd;


** * *  **** ***  * *  * *** *  *** *   %d", &a1, ***  * **

*  * **     * **  ** * **  *  * i <= a1   * **  * * i <= a2; ++i)
   ****  *  *  * * **    ** 
* *    **  *  **  *  **  *  * ** * *****   ****    *** *  ****   *    ** * * a2%i==0)
*****     * ** * **   * **** ** *  **** *   ***  * * ** ** *****  *    **       * * ** = i;
*   ***** * * ** ** ** *  *   

  * * * ** **    ***    ****** ***        * *   ** * gcd);

  *  *  *****   ** ***    * 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 5

Hidden content!
#include<stdio.h>
int main()
{
    *  *  *********    *** * ** * a,b,c;
*  ***   ****  *   * * ** **   ** *** * * %d",&a,&b);
*  * *   *   **      **   (a%b!=0)
 ** **      ***********   *
  **  ******  * ***  * **** ***  *      *******
 * **  *   * **  ***  ******** *   *   * ***   **  ** *  
* ***** *    ***   **  *  * ** ** * *      * ** *  **    *  *
* ** *    *** *** ******* ****  *
**   *     ** ***  *  *  **** **** * *     * * * *
*** *** *  * *** *   * ** *  * * 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 6

Hidden content!
** * **   * ***  * *  *
int main (void)
{
int a,b,c;
  * *  * ** * * ****  ** *
   *  **   **    *    ******  
while ( a % b != 0){
 ****  * ** *** * ** *  * ***
*    **       ***  **    ***
**  **     **    *** * ***  * **  
}
*  ***  *****   ****  * 
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
Case 4: Wrong output

Answer 7

Hidden content!
#include<stdio.h>
int main()
{
      ********  *  *****  a,b,c;
   *   ** *      * **   *   *  *  *     %d",&a,&b);
 ** ****  ** **  * *** **   * **  (a%b!=0)
  **    * *  ********* ** *    
** * *       * * **  ****  *** * *  ** ***      **  *
* ** *  **   * **  *    *  **   *    * * ****  * *  **  *
   *  ***  ***  *   **      ** *    **** *   **   *****
* *    *  *  ** *       * ** *
 **** *  *** **    * * *  *      **     * *  
   ***        ***  **    * *  0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
Case 4: Wrong output

Answer 8

Hidden content!
#include       **** *** ***
int *  ** * 
{
 * *  *   **  *  int a,b;
    ***  ***     **  *   *  * ***    * * **   *    *  * 
 * * * ***  *   *  
  *  *        
**   * * ** **    * * *   * * 
   **    **** * * {
*    **     * * **   **  *****  * int c=a%b;
** *** * *     *   *    *   * a=b;
*  ** ******  *  ** *  ***  b=c;
*   ***     *  ** * * **** ** 
  * *  *    }
** **   *  **  
  * * ** *      
return   *  **   * ** * 
*  ***   * ** 
*  **   *** *** 
 * * **     * 
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 9

Hidden content!
#include<stdio.h>

int main() {
*  *** **  *  * *   *   ** *** a, b, tmp;
    ***   ** ** * *** * ** ** *** **  %d", &a, &b);
 *    **  *   ***  *  * ** ***  *  * * {
**  *  *  *   ***********   *   * * **** * * ** **   *
        *****   **** * **  * *  ****   *    * ****  *  
 * **   **** **   *** *  **        * *     * ** *  
 **** * *   ** *    *  **   *
  * ***   *    ***** * **  ** * *    *    ** b);
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

---

great!