目录

1  题目要求

2  代码

2.1  以十进制为媒介（不可行） 

2.2  以二进制为媒介

3  可能会遇到的难点

4  结论

5  延伸

5.1  超大数据阶乘

5.2  超大数据加法

5.3  以十进制为媒介的进制转换

---

1  题目要求

2  代码

2.1  以十进制为媒介（不可行） 

我首先想到的就是十六进制转十进制，十进制转八进制，毕竟这样的方法是最常见的，但始终出现报错。

我想可能是int能储存的数范围太小了，就尝试用long long存储，结果还是报错。

#include <bits/stdc++.h>
using namespace std;
string a;
int n;
long long sum; 
int b[10][9999999];
long long cnt[10];
int i;
int shiliu()
{
	sum=0;
	for(int j=0;j<a.size();j++)
	{
		if((int)a[j]>=65)
		{
			sum=sum+((int)a[j]-65+10)*pow(16,a.size()-j-1);
		}
		else
		{
			sum=sum+((int)a[j]-48)*pow(16,a.size()-j-1);
		}
	}
	return sum;
}

int ba(int temp)
{
	int k=0;
	while(temp>0)
	{
		b[i][k]=temp%8;
		temp/=8;
		cnt[i]++;
		k++;
	}
	return 0;
}

int main()
{
	cin>>n;
	for(i=0;i<n;i++)
	{
		cin>>a;
		ba(shiliu());
	}
	for(i=0;i<n;i++)
	{
		for(int j=0;j<cnt[i];j++)
		{
			cout<<b[i][cnt[i]-j-1];
		}
		cout<<endl;
	}
	return 0;
}

看到测试的数据，出错的原因就显而易见了。

下图是蓝桥杯的测试数据：

10
76
931FA
C9DAB2B36C
248B87D6AE33F9A
62D7183A5D5789E4B2D6
B441E2411DC709E111C7E1E7ACB6F8CAC0BB2FC4C8BC2AE3BAAAB9165CC458E199CB89F51B135F7091A5ABB0874DF3E8CB45
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

显然十进制肯定存不进去，只能换个思路

2.2  以二进制为媒介

那么不妨用十六进制转二进制，二进制转八进制，毕竟二进制、四进制、八进制、十六进制这几种进制数之间有比较特殊的关系：可以统统转化成二进制，然后把数位捏成一位。（这里不具体讲解了）这里参考这位博主的文章并加以改进，代码如下：(2条消息) 蓝桥杯C语言 十六进制转八进制_蓝桥杯16进制转8进制c语言_码农阿波的博客-CSDN博客https://blog.csdn.net/A6_107/article/details/122986203

#include <bits/stdc++.h>
using namespace std;

int main() 
{
 int n;      //十六进制数数量
 int i,j,k; // 计数变量 
 int result;
 int str_len;
 cin>>n;
 char str[n][100000];
 //建立数组，保存16个十六进制数对应的二进制数
 char demo[16][5] = {"0000","0001","0010","0011","0100","0101","0110","0111","1000","1001","1010","1011","1100","1101","1110","1111"};//因为字符串自动以\0结尾，所以设定数组大小的时候要改为5 
 for(i=0;i<n;i++)
 {
  cin>>str[i];
  k=0;//每次计算都要把k重置，非常重要，不可删去！！ 
  str_len = strlen(str[i]);   //计数十六进制数长度 
  int ss = 4*str_len%3;         //判断转换后的二进制数数量是否为3的倍数，（十六进制转二进制是1位转4位，二进制转八进制是3位转1位，二进制数3个一组，求组不成整组的数字个数） 
  char temp[4*str_len+3-ss];//存放二进制数              *难点2* 
  if(ss == 1)       //*难点4* 
  {
   strcat(temp,"00");
   k=k+2;
  }
  if(ss == 2){
   strcat(temp,"0");
   k++;
  }
  /* 进行十六进制向二进制数的转换  */
        for(j=0;j<str_len;j++)
        {
            if(str[i][j]<65)//A的ASCII码是65    *难点1* 
			{
                temp[k++] = demo[str[i][j]-48][0];
                temp[k++] = demo[str[i][j]-48][1];
                temp[k++] = demo[str[i][j]-48][2];
                temp[k++] = demo[str[i][j]-48][3];
            }
            else
			{
                temp[k++] = demo[str[i][j]-55][0];
                temp[k++] = demo[str[i][j]-55][1];
                temp[k++] = demo[str[i][j]-55][2];
                temp[k++] = demo[str[i][j]-55][3];
            }
        }
        //temp[k] = 0;
        //进行输出操作
  for(j=0;j<4*str_len;j=j+3)
  {
   if(j==0)//0单独讨论的原因是输出数字的首位不能是0，如果首位是0，则不输出  *难点3* 
   {
        result=(4*(temp[j]-48) + 2*(temp[j+1]-48) + (temp[j+2]-48));
        if( result != 0)  cout<<result;
    }
    else
	{
        result=(4*(temp[j]-48) + 2*(temp[j+1]-48) + (temp[j+2]-48));
        cout<<result;
    }
  } 
  cout<<endl;

 } 
 return 0;
}

图解：

3  可能会遇到的难点

难点1：利用ASCII码进行进制转换

解答1：具体的例题可以看我之前的文章

难点2：求余数的目的

解答2：在代码中的注释部分有讲解

难点3：j==0单独讨论的原因

解答3：在代码中的注释部分有讲解

难点4：为什么会出现用0部位的现象

解答4：正常来说从二进制转化成八进制需要从个位起每三位转化成一位，需要倒序而且对于剩余的凑不成三个数的情况难以处理。所以需要在最前面填写适当位数（适当位数=3-ss，这就是求余数的目的）的0使二进制形式位数凑成3的倍数，这样做之后可以发现我们从前往后转八进制和从后往前转八进制是一个效果。那么，就可以不用倒序便能求解

4  结论

显然，利用二进制转化不方便，但是应对如此庞大的数据，我们也只能这样解决

但是现在唯一不满足的一点是，这个程序输入一个数就马上输出一个数，没有存储和同时输出的效果，暂时还没有啥好的办法，如果有什么好的想法可以在评论区下留言。

5  延伸

5.1  超大数据阶乘

#include <bits/stdc++.h>
using namespace std;
int a[10005];   
int main()
{
    long long n,temp;
    cin>>n;
    a[0]=1;
    int s,c=0;  //c 进位 
    for(int i=2;i<=n;i++)
    {
        for(int j=0;j<10000;j++)//手算原理 
		{
            s=a[j]*i+c; 
            a[j]=s%10;
            c=s/10;
        }   
    }
    for(int i=10000;i>=0;i--)
	{
        if(a[i]!=0)//保证首位不为0 
		{
            for(int j=i;j>=0;j--)//倒序输出 
			{
                cout<<a[j];
            }
            break;
        }
    }
    return 0;
 } 

5.2  超大数据加法

#include <bits/stdc++.h>
using namespace std;

int arr[101],atemp[101];
int brr[101],btemp[101];
int crr[101];
string a,b;
int main()
{
	cin>>a>>b;
	for(int i=0;i<a.size();i++)
	{
		arr[i]=(int)a[i]-48;//0的ACSII码是48，字符串转数组存储 
	}
	for(int i=0;i<b.size();i++)
	{
		brr[i]=(int)b[i]-48;
	}
	if(a.size()>=b.size())
	{
		for(int i=0;i<a.size();i++)
		{
			atemp[i+1]=arr[i];//把数组第一个元素空出来，防止最高一位进位没有地方存储 
		}
		for(int i=0;i<b.size();i++)
		{
			btemp[i+a.size()-b.size()+1]=brr[i];//把个位和个位对齐 
		}
		for(int i=a.size();i>=0;i--)
		{
			if(atemp[i]+btemp[i]+crr[i]>=10)
			{
				crr[i-1]++;//进位 
				crr[i]+=atemp[i]+btemp[i]-10;
			}
			else
			{
				crr[i]+=atemp[i]+btemp[i];
			}
		}
		for(int i=0;i<=a.size();i++)
		{
			if(crr[i]!=0)
			{
				for(int j=i;j<=a.size();j++)
				{
					cout<<crr[j];
				}
				break;
			}
		}
	}
	else
	{
		for(int i=0;i<b.size();i++)
		{
			btemp[i+1]=brr[i];
		}
		for(int i=0;i<a.size();i++)
		{
			atemp[i+b.size()-a.size()+1]=arr[i];
		}
		for(int i=b.size();i>=1;i--)
		{
			if(atemp[i]+btemp[i]+crr[i]>=10)
			{
				crr[i-1]++;
				crr[i]+=atemp[i]+btemp[i]-10;
			}
			else
			{
				crr[i]+=atemp[i]+btemp[i];
			}
		}
		for(int i=0;i<=b.size();i++)
		{
			if(crr[i]!=0)
			{
				for(int j=i;j<=b.size();j++)
				{
					cout<<crr[j];
				}
				break;
			}
		}
	}
	return 0;
}

5.3  以十进制为媒介的进制转换

详见下面文章：

(1条消息) 任意进制转换成十进制/十进制转换成任意进制（ASCII码法）（C/C++）_菜只因C的博客-CSDN博客