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!