算法是一個程序和軟件的靈魂，作為一名優秀的程序員，只有對一些基礎的算法有著全面的掌握，才會在設計程序和編寫代碼的過程中顯得得心應手。本文是近百個C語言算法系列的第二篇，包括了經典的Fibonacci數列、簡易計算器、回文檢查、質數檢查等算法。也許他們能在你的畢業設計或者面試中派上用場。

1、計算Fibonacci數列

Fibonacci數列又稱斐波那契數列，又稱黃金分割數列，指的是這樣一個數列：1、1、2、3、5、8、13、21。

C語言實現的代碼如下：

/* Displaying Fibonacci sequence up to nth term where n is entered by user. */ #include <stdio.h> int main() { int count, n, t1=0, t2=1, display=0; printf("Enter number of terms: "); scanf("%d",&n); printf("Fibonacci Series: %d+%d+", t1, t2); /* Displaying first two terms */ count=2; /* count=2 because first two terms are already displayed. */ while (count<n) { display=t1+t2; t1=t2; t2=display; ++count; printf("%d+",display); } return 0; }

結果輸出：

Enter number of terms: 10 Fibonacci Series: 0+1+1+2+3+5+8+13+21+34+

也可以使用下面的源代碼：

/*?Displaying?Fibonacci?series?up?to?certain?number?entered?by?user.?*/ #include <stdio.h> int main() { int t1=0, t2=1, display=0, num; printf("Enter an integer: "); scanf("%d",&num); printf("Fibonacci Series: %d+%d+", t1, t2); /* Displaying first two terms */ display=t1+t2; while(display<num) { printf("%d+",display); t1=t2; t2=display; display=t1+t2; } return 0; }

結果輸出：

Enter an integer: 200

2、回文檢查

?源代碼：

/* C program to check whether a number is palindrome or not */ #include <stdio.h> int main() { int n, reverse=0, rem,temp; printf("Enter an integer: "); scanf("%d", &n); temp=n; while(temp!=0) { rem=temp%10; reverse=reverse*10+rem; temp/=10; } /* Checking if number entered by user and it's reverse number is equal. */ if(reverse==n) printf("%d is a palindrome.",n); else printf("%d is not a palindrome.",n); return 0; }

結果輸出：

Enter an integer: 12321

3、質數檢查

注：1既不是質數也不是合數。

源代碼：

/* C program to check whether a number is prime or not. */ #include <stdio.h> int main() { int n, i, flag=0; printf("Enter a positive integer: "); scanf("%d",&n); for(i=2;i<=n/2;++i) { if(n%i==0) { flag=1; break; } } if (flag==0) printf("%d is a prime number.",n); else printf("%d is not a prime number.",n); return 0; }

結果輸出：

Enter a positive integer: 29

4、打印金字塔和三角形

?使用 * 建立三角形

*

源代碼：

#include <stdio.h> int main() { int i,j,rows; printf("Enter the number of rows: "); scanf("%d",&rows); for(i=1;i<=rows;++i) { for(j=1;j<=i;++j) { printf("* "); } printf("\n"); } return 0; }

如下圖所示使用數字打印半金字塔。

1

源代碼：

#include <stdio.h> int main() { int i,j,rows; printf("Enter the number of rows: "); scanf("%d",&rows); for(i=1;i<=rows;++i) { for(j=1;j<=i;++j) { printf("%d ",j); } printf("\n"); } return 0; }

用 * 打印半金字塔

* * * * *

源代碼：

#include <stdio.h> int main() { int i,j,rows; printf("Enter the number of rows: "); scanf("%d",&rows); for(i=rows;i>=1;--i) { for(j=1;j<=i;++j) { printf("* "); } printf("\n"); } return 0; }

用 * 打印金字塔

*

源代碼：

#include <stdio.h> int main() { int i,space,rows,k=0; printf("Enter the number of rows: "); scanf("%d",&rows); for(i=1;i<=rows;++i) { for(space=1;space<=rows-i;++space) { printf(" "); } while(k!=2*i-1) { printf("* "); ++k; } k=0; printf("\n"); } return 0; }

用 * 打印倒金字塔

* * * * * * * * *

源代碼：

#include<stdio.h> int main() { int rows,i,j,space; printf("Enter number of rows: "); scanf("%d",&rows); for(i=rows;i>=1;--i) { for(space=0;space<rows-i;++space) printf(" "); for(j=i;j<=2*i-1;++j) printf("* "); for(j=0;j<i-1;++j) printf("* "); printf("\n"); } return 0; }

5、簡單的加減乘除計算器

源代碼：

/* Source code to create a simple calculator for addition, subtraction, multiplication and division using switch...case statement in C programming. */ # include <stdio.h> int main() { char o; float num1,num2; printf("Enter operator either + or - or * or divide : "); scanf("%c",&o); printf("Enter two operands: "); scanf("%f%f",&num1,&num2); switch(o) { case '+': printf("%.1f + %.1f = %.1f",num1, num2, num1+num2); break; case '-': printf("%.1f - %.1f = %.1f",num1, num2, num1-num2); break; case '*': printf("%.1f * %.1f = %.1f",num1, num2, num1*num2); break; case '/': printf("%.1f / %.1f = %.1f",num1, num2, num1/num2); break; default: /* If operator is other than +, -, * or /, error message is shown */ printf("Error! operator is not correct"); break; } return 0; }

結果輸出：

Enter operator either + or - or * or divide : -

6、檢查一個數能不能表示成兩個質數之和

源代碼：

#include <stdio.h> int prime(int n); int main() { int n, i, flag=0; printf("Enter a positive integer: "); scanf("%d",&n); for(i=2; i<=n/2; ++i) { if (prime(i)!=0) { if ( prime(n-i)!=0) { printf("%d = %d + %d\n", n, i, n-i); flag=1; } } } if (flag==0) printf("%d can't be expressed as sum of two prime numbers.",n); return 0; } int prime(int n) /* Function to check prime number */ { int i, flag=1; for(i=2; i<=n/2; ++i) if(n%i==0) flag=0; return flag; }

結果輸出：

Enter a positive integer: 34

7、用遞歸的方式顛倒字符串

源代碼：

/* Example to reverse a sentence entered by user without using strings. */ #include <stdio.h> void Reverse(); int main() { printf("Enter a sentence: "); Reverse(); return 0; } void Reverse() { char c; scanf("%c",&c); if( c != '\n') { Reverse(); printf("%c",c); } }

結果輸出：

Enter a sentence: margorp emosewa

8、實現二進制與十進制之間的相互轉換

/* C programming source code to convert either binary to decimal or decimal to binary according to data entered by user. */ #include <stdio.h> #include <math.h> int binary_decimal(int n); int decimal_binary(int n); int main() { int n; char c; printf("Instructions:\n"); printf("1. Enter alphabet 'd' to convert binary to decimal.\n"); printf("2. Enter alphabet 'b' to convert decimal to binary.\n"); scanf("%c",&c); if (c =='d' || c == 'D') { printf("Enter a binary number: "); scanf("%d", &n); printf("%d in binary = %d in decimal", n, binary_decimal(n)); } if (c =='b' || c == 'B') { printf("Enter a decimal number: "); scanf("%d", &n); printf("%d in decimal = %d in binary", n, decimal_binary(n)); } return 0; } int decimal_binary(int n) /* Function to convert decimal to binary.*/ { int rem, i=1, binary=0; while (n!=0) { rem=n%2; n/=2; binary+=rem*i; i*=10; } return binary; } int binary_decimal(int n) /* Function to convert binary to decimal.*/ { int decimal=0, i=0, rem; while (n!=0) { rem = n%10; n/=10; decimal += rem*pow(2,i); ++i; } return decimal; }

結果輸出：

9、使用多維數組實現兩個矩陣的相加

源代碼：

#include <stdio.h> int main(){ int r,c,a[100][100],b[100][100],sum[100][100],i,j; printf("Enter number of rows (between 1 and 100): "); scanf("%d",&r); printf("Enter number of columns (between 1 and 100): "); scanf("%d",&c); printf("\nEnter elements of 1st matrix:\n"); /* Storing elements of first matrix entered by user. */ for(i=0;i<r;++i) for(j=0;j<c;++j) { printf("Enter element a%d%d: ",i+1,j+1); scanf("%d",&a[i][j]); } /* Storing elements of second matrix entered by user. */ printf("Enter elements of 2nd matrix:\n"); for(i=0;i<r;++i) for(j=0;j<c;++j) { printf("Enter element a%d%d: ",i+1,j+1); scanf("%d",&b[i][j]); } /*Adding Two matrices */ for(i=0;i<r;++i) for(j=0;j<c;++j) sum[i][j]=a[i][j]+b[i][j]; /* Displaying the resultant sum matrix. */ printf("\nSum of two matrix is: \n\n"); for(i=0;i<r;++i) for(j=0;j<c;++j) { printf("%d ",sum[i][j]); if(j==c-1) printf("\n\n"); } return 0; }

10、矩陣轉置

源代碼：

#include <stdio.h> int main() {int a[10][10], trans[10][10], r, c, i, j; printf("Enter rows and column of matrix: "); scanf("%d %d", &r, &c); /* Storing element of matrix entered by user in array a[][]. */ printf("\nEnter elements of matrix:\n"); for(i=0; i<r; ++i) for(j=0; j<c; ++j) { printf("Enter elements a%d%d: ",i+1,j+1); scanf("%d",&a[i][j]); } /* Displaying the matrix a[][] */ printf("\nEntered Matrix: \n"); for(i=0; i<r; ++i) for(j=0; j<c; ++j) { printf("%d ",a[i][j]); if(j==c-1) printf("\n\n"); } /* Finding transpose of matrix a[][] and storing it in array trans[][]. */ for(i=0; i<r; ++i) for(j=0; j<c; ++j) { trans[j][i]=a[i][j]; } /* Displaying the transpose,i.e, Displaying array trans[][]. */ printf("\nTranspose of Matrix:\n"); for(i=0; i<c; ++i) for(j=0; j<r; ++j) { printf("%d ",trans[i][j]); if(j==r-1) printf("\n\n"); } return 0; }

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