题目

P0609. 质因分解加强版

思路

代码

#include <iostream>
#include <vector>
#include <string>

std::string primeFactorization(int n) {
    std::vector<int> factors;
    std::vector<int> counts;
    
    for (int i = 2; i * i <= n; ++i) {
        if (n % i == 0) {
            factors.push_back(i);
            counts.push_back(0);
            while (n % i == 0) {
                n /= i;
                counts.back()++;
            }
        }
    }
    
    if (n > 1) {
        factors.push_back(n);
        counts.push_back(1);
    }
    
    std::string result;
    for (size_t i = 0; i < factors.size(); ++i) {
        if (i > 0) {
            result += "*";
        }
        if (counts[i] > 1) {
            result += std::to_string(factors[i]) + "^" + std::to_string(counts[i]);
        } else {
            result += std::to_string(factors[i]);
        }
    }
    
    return result;
}

int main() {
    int n;
    std::cin >> n;
    std::cout << primeFactorization(n) << std::endl;
    return 0;
}