POJ 1001 Exponentiation(高精度大数乘法)

题目链接:http://poj.org/problem?id=1001

题意:求小数R的N次幂

思路:结果数字串的长度最大为5*25,考虑用大数模板。先将小数转化为整数,输出时再考虑小数点位数。

代码:

#include <iostream>
#include <cstring>
#include <algorithm>
#include <climits>
#include <math.h>
#include <cstdio>
typedef long long LL;
using namespace std;
const int INF=INT_MAX;
const int MAXN=5005;
const int mod=1e9+7;
const int N = 1e4 + 10;
const double eps=1e-9;
int n;
char ans[6000000];
double m;
struct BigInt
{
    const static int mod=10;
    const static int mlen=1;
    int a[600],len;
    BigInt(int v=0)
    {
        memset(a,0,sizeof(a));
        len=0;
        do
        {
            a[len++]=v%mod;
            v/=mod;
        }
        while(v);
    }
    BigInt(char s[])
    {
        memset(a,0,sizeof(a));
        int slen=strlen(s);
        len=(slen-1)/mlen+1;
        int index=0;
        for(int i=slen-1;i>=0;i-=mlen)
        {
            int t=0;
            int j=max(0,i-mlen+1);
            while(j<=i)
            {
                t=t*10+s[j]-'0';
                j++;
            }
            a[index++]=t;
        }
    }
    BigInt operator +(const BigInt &b)
    {
        BigInt ret;
        ret.len=max(len,b.len);
        memset(ret.a,0,sizeof(ret.a));
        for(int i=0;i<ret.len;i++)
        {
            ret.a[i]+=(a[i]+b.a[i]);
            ret.a[i+1]=ret.a[i]/mod;
            ret.a[i]%=mod;
        }
        if(ret.a[ret.len]>0)ret.len++;
        return ret;
    }
    BigInt operator *(const BigInt &b)
    {
        BigInt ret;
        ret.len=len+b.len;
        memset(ret.a,0,sizeof(ret.a));
        for(int i=0;i<len;i++)
        {
            int up=0;
            for(int j=0;j<b.len;j++)
            {
                int tmp=a[i]*b.a[j]+ret.a[i+j]+up;
                ret.a[i+j]=tmp%mod;
                up=tmp/mod;
            }
            if(up!=0)
            {
                ret.a[i+b.len]=up;
            }
        }
        while(ret.a[ret.len-1]==0&&ret.len>1)ret.len--;
        return ret;
    }
    void print()
    {
        printf("%d",a[len-1]);
        for(int i=len-2;i>=0;i--)
                printf("%d",a[i]);
    }
    void print2(int decn)
    {
        if(len<decn)
        {
            printf(".");
            for(int i=0;i<decn-len;i++)
                printf("0");
            for(int i=len-1;i>=0;i--)
                printf("%d",a[i]);
        }
        else if(decn==0)
        {
            for(int i=len-1;i>=0;i--)
                printf("%d",a[i]);
        }
        else
        {
            for(int i=len-1;i>=decn;i--)
                printf("%d",a[i]);
            printf(".");
            for(int i=decn-1;i>=0;i--)
                printf("%d",a[i]);
        }
    }
};
int main()
{
    //freopen("in.txt","r",stdin);
    while(scanf("%lf%d",&m,&n)!=EOF)
    {
        int ten=1;
        int cnt=0;
        while(1)
        {
            double now=m*ten;
            if(now-floor(now)<eps)
                break;
            ten*=10;
            cnt++;
        }
        int t=(int)(m*ten+eps);
        BigInt x(t);
        BigInt ans(1);
        for(int i=0;i<n;i++)
        {
            ans=ans*x;
        }
        ans.print2(cnt*n);
        cout<<endl;
    }
    return 0;
}

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转载自blog.csdn.net/Neonest/article/details/81086413