zufeoj_高精度乘法!!!

本文介绍了一种解决高精度乘法问题的算法实现方法,通过字符串转化为数字并利用乘法法则进行运算,最终实现两个大数之间的乘法操作。

题目链接:http://acm.ocrosoft.com/problem.php?id=1256

题目描述

高精度乘法 输入:两行,每行表示一个非负整数(不超过10000位) 输出:两数的乘积。

输入

输出

样例输入

99
101

样例输出

9999


高精度乘法即 将字符串转化为单个数字,按照乘法法则进行相乘然后相加,然后将后一位数字产生的进位加到前一位数字上,后一位数字只保留其个位数字。

#include<bits/stdc++.h>
using namespace std;
char str1[11111],str2[11111];
int a[11111],b[11111],c[111111];
int main(){
	cin>>str1>>str2;
	int len1=strlen(str1);
	int len2=strlen(str2);
	memset(a,0,sizeof(a));
	memset(b,0,sizeof(b));
	memset(c,0,sizeof(c));
	int i,j=1;
	for(i=len1-1;i>=0;i--){
		a[j++]=str1[i]-'0';
	}
	j=1;
	for(i=len2-1;i>=0;i--){
		b[j++]=str2[i]-'0';
	}
	for(i=1;i<=len1;i++){
		for(int j=1;j<=len2;j++){
			c[i+j-1]+=a[i]*b[j];
		}
	}
	for(i=1;i<len1+len2;i++){
		c[i+1]+=c[i]/10;
		c[i]%=10;
	}
	while(c[i]==0&&i>1){
		i--;
	}
	for(;i>=1;i--){
		cout<<c[i];
	}
	cout<<endl;
	return 0;
}

Problems involving the computation of exact values of very large magnitude and precision are common. For example, the computation of the national debt is a taxing experience for many computer systems. This problem requires that you write a program to compute the exact value of Rn where R is a real number ( 0.0 < R < 99.999 ) and n is an integer such that 0 < n <= 25. 输入说明 The input will consist of a set of pairs of values for R and n. The R value will occupy columns 1 through 6, and the n value will be in columns 8 and 9. 输出说明 The output will consist of one line for each line of input giving the exact value of R^n. Leading zeros should be suppressed in the output. Insignificant trailing zeros must not be printed. Don't print the decimal point if the result is an integer. 输入样例 95.123 12 0.4321 20 5.1234 15 6.7592 9 98.999 10 1.0100 12 输出样例 548815620517731830194541.899025343415715973535967221869852721 .00000005148554641076956121994511276767154838481760200726351203835429763013462401 43992025569.928573701266488041146654993318703707511666295476720493953024 29448126.764121021618164430206909037173276672 90429072743629540498.107596019456651774561044010001 1.126825030131969720661201 小提示 If you don't know how to determine wheather encounted the end of input: s is a string and n is an integer C++ while(cin>>s>>n) { ... } c while(scanf("%s%d",s,&n)==2) //to see if the scanf read in as many items as you want /*while(scanf(%s%d",s,&n)!=EOF) //this also work */ { ... } 来源 East Central North America 1988 北大OJ平台(代理
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