在 C++ 中求兩個大數的和
在這個問題中,我們給出了兩個字串,定義了兩個大數。我們的任務是建立一個程式來找到兩個大數的和。
我們舉個例子來理解這個問題,
Input: number1 = “341299123919” number2 = “52413424” Output: 341351537343
為了解決這個問題,我們將遍歷這兩個字串。並按位數相加並傳遞進位。並將結果按位數儲存在和字串中。
演算法
Initialize sum = 0, carry = 0. Step 1: loop from n to 0. Step 1.1: intSum = number1[i] + number2[i] Step 1.2: carry = intSum/10. Sum += intSum Step 2: sum += carry. Step 3: return sum.
例項
程式來說明我們解決方案的工作原理,
#include<bits/stdc++.h>
using namespace std;
string addBigNumbers(string number1, string number2) {
if (number1.length() > number2.length())
swap(number1, number2);
string sum = "";
int len1 = number1.length();
int len2 = number2.length();
int digitDiff = len2 - len1;
int carry = 0;
int intSum;
for (int i=len1-1; i>=0; i--) {
intSum = ((number1[i]-'0') + (number2[i+digitDiff]- '0') + carry);
sum.push_back(intSum%10 + '0');
carry = intSum/10;
}
for (int i=digitDiff-1; i>=0; i--) {
intSum = ((number2[i]-'0')+carry);
sum.push_back(intSum%10 + '0');
carry = intSum/10;
}
if (carry)
sum.push_back(carry+'0');
reverse(sum.begin(), sum.end());
return sum;
}
int main() {
string number1 = "235235823852";
string number2 = "45230820348";
cout<<"Sum of two large numbers is "<<addBigNumbers(number1,x number2);
return 0;
}輸出
Sum of two large numbers is 280466644200
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