经常遇到的10大C语言基础算法(珍藏版源码)
算法是一个程序和软件的灵魂,作为一名优秀的程序员,只有对一些基础的算法有着全面的掌握,才会在设计程序和编写代码的过程中显得得心应手。本文是近百个C语言算法系列的第二篇,包括了经典的Fibonacci数列、简易计算器、回文检查、质数检查等算法。也许他们能在你的毕业设计或者面试中派上用场。
1、计算Fibonacci数列
Fibonacci数列又称斐波那契数列,又称黄金分割数列,指的是这样一个数列:1、1、2、3、5、8、13、21。
C语言实现的代码如下:
/* 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;
}
结果输出:
Enter number of terms: 10Fibonacci Series: 0+1+1+2+3+5+8+13+21+34+
也可以使用下面的源代码:
/* 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;
}
结果输出:
Enter an integer: 200Fibonacci Series: 0+1+1+2+3+5+8+13+21+34+55+89+144+
2、回文检查
源代码:
/* 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;
}
结果输出:
Enter an integer: 1232112321 is a palindrome.
3、质数检查
注:1既不是质数也不是合数。
源代码:
/* 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;
}
结果输出:
Enter a positive integer: 2929 is a prime number.
4、打印金字塔和三角形
使用 * 建立三角形
*
* *
* * *
* * * *
* * * * *
源代码:
#include <stdio.h>int main(){ int i,j,rows; printf('Enter the number of rows: '); scanf('%d',&rows);//微信搜索公众号【C语言中文社区】关注回复C语言,免费领取200G学习资料 for(i=1;i<=rows;++i) { for(j=1;j<=i;++j) { printf('* '); } printf('\n'); } return 0;}
如下图所示使用数字打印半金字塔。
1
1 2
1 2 3
1 2 3 4
1 2 3 4 5
源代码:
#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
* * * * *
* * * *
* * *
* *
*
源代码:
#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
*
* * *
* * * * *
* * * * * * *
* * * * * * * * *
源代码:
#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
* * * * * * * * *
* * * * * * *
* * * * *
* * *
*
源代码:
#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、简单的加减乘除计算器
源代码:
/* 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;
}
结果输出:
Enter operator either + or - or * or divide : -Enter two operands: 3.48.43.4 - 8.4 = -5.0
6、检查一个数能不能表示成两个质数之和
源代码:
#include <stdio.h>
int prime(int n);
int main()
{
int n, i, flag=0;//微信搜索公众号【C语言中文社区】关注回复C语言,免费领取200G学习资料
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;
}
结果输出:
Enter a positive integer: 3434 = 3 + 3134 = 5 + 2934 = 11 + 2334 = 17 + 17
7、用递归的方式颠倒字符串
源代码:
/* 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);
}
}
结果输出:
Enter a sentence: margorp emosewaawesome program
8、实现二进制与十进制之间的相互转换
/* 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;
}
结果输出:
9、使用多维数组实现两个矩阵的相加
源代码:
#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;}
结果输出:
10、矩阵转置
源代码:
#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;
}
结果输出:
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