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!