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!