基于gmp调用的RSA3072的C++实现

以下是基于GMP调用的RSA3072的C++实现示例代码：

#include <iostream>
#include <gmpxx.h>

using namespace std;

int main() {
    // Generate random prime numbers
    mpz_class p, q;
    gmp_randstate_t state;
    gmp_randinit_default(state);
    gmp_randseed_ui(state, time(NULL));
    mpz_urandomb(p.get_mpz_t(), state, 1024);
    mpz_nextprime(p.get_mpz_t(), p.get_mpz_t());
    mpz_urandomb(q.get_mpz_t(), state, 1024);
    mpz_nextprime(q.get_mpz_t(), q.get_mpz_t());

    // Calculate n and phi(n)
    mpz_class n = p * q;
    mpz_class phi_n = (p - 1) * (q - 1);

    // Generate random e
    mpz_class e;
    do {
        mpz_urandomb(e.get_mpz_t(), state, 1024);
        mpz_nextprime(e.get_mpz_t(), e.get_mpz_t());
    } while (mpz_cmp(e.get_mpz_t(), phi_n.get_mpz_t()) >= 0);

    // Calculate d
    mpz_class d;
    mpz_invert(d.get_mpz_t(), e.get_mpz_t(), phi_n.get_mpz_t());

    // Print keys
    cout << "Public key (n, e): (" << n << ", " << e << ")" << endl;
    cout << "Private key (n, d): (" << n << ", " << d << ")" << endl;

    // Encrypt and decrypt a message
    mpz_class m = 123456789;
    mpz_class c, m_decrypted;
    mpz_powm(c.get_mpz_t(), m.get_mpz_t(), e.get_mpz_t(), n.get_mpz_t());
    mpz_powm(m_decrypted.get_mpz_t(), c.get_mpz_t(), d.get_mpz_t(), n.get_mpz_t());
    cout << "Encrypted message: " << c << endl;
    cout << "Decrypted message: " << m_decrypted << endl;

    return 0;
}

这段代码使用了GMP库生成RSA3072的公私钥，并且进行了一个简单的加密和解密操作。在实际使用时，需要注意安全性和性能等方面的问题。