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!