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!