C++ 中前 n 個自然數的和
在這個問題中,為了找到前 n 個自然數的和的和,我們將求出從 1 到 n 之間所有數的和,然後將它們加起來以找到和。
讓我們舉個例子來學習這個概念,
Input : 4 Output : 10 Explanation : Sum of first 1 natural number = 1 Sum of first 2 natural number = 1 + 2 = 3 Sum of first 3 natural number = 1 + 2 +3 = 6 Sum of first 4 natural number = 1 + 2 + 3 + 4 = 10 Sum of sum of 4 natural number = 1 + 3 + 6 + 10 = 20
示例
#include <iostream> using namespace std; int sumofSum(int n){ int sum = 0; for (int i=1; i<=n; i++) sum += i*(i+1)/2; return sum; } int main(){ int n = 4; cout<<"sum of sum first "<<n<<"natural numbers is "<<sumofSum(n); return 0; }
輸出
sum of sum first 4natural numbers is 20
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