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!