結果

問題 No.442 和と積
コンテスト
ユーザー dgd1724
提出日時 2016-11-20 06:04:34
言語 C++11（廃止可能性あり）
(gcc 13.3.0)
結果
AC  
実行時間 2 ms / 1,000 ms
コード長 4,531 bytes
コンパイル時間 2,254 ms
コンパイル使用メモリ 170,004 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-07-04 22:43:28
合計ジャッジ時間 2,295 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 18
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>

//const static double	de_PI	= 3.14159265358979323846;
//const static int	de_MOD	= 1000000007;
//const static int	de_MAX	= 999999999;
//const static int	de_MIN = -999999999;

inline void Erase_LeadingZero(std::string &A) {

	if (A == "") {}
	else if (A.length() <= 18) {
		unsigned long long temp = std::stoull(A);
		A = std::to_string(temp);
	}
	else {
		std::reverse(A.begin(), A.end());
		while (!A.empty() && A.back() == '0') { A.pop_back(); }
		std::reverse(A.begin(), A.end());
		if (A == "") { A = "0"; }
	}
}

inline int Compare_MultiplePrecision(const std::string &str1, const std::string &str2) {

	if (str1 == str2) { return 0; }

	std::string A = str1, B = str2;
	Erase_LeadingZero(A);
	Erase_LeadingZero(B);

	if (A.length() > B.length()) { return 1; }
	else if (A.length() < B.length()) { return -1; }
	else {
		unsigned int i = 0;
		while (A[i] == B[i]) { i++; }
		if (A[i] > B[i]) { return 1; }
		else { return -1; }
	}
}

inline std::string Add_MultiplePrecision(const std::string &str1, const std::string &str2) {

	std::string A = str1, B = str2;
	int al = A.length(), bl = B.length(), cl = std::max(A.length(), B.length());
	std::vector<int> a(cl), b(cl), c(cl + 1);

	for (int i = 0; i < al; i++) { a[i] = A[al - 1 - i] - '0'; }
	for (int i = 0; i < bl; i++) { b[i] = B[bl - 1 - i] - '0'; }

	int carry = 0;
	for (int i = 0; i < cl; i++) {
		c[i] = (a[i] + b[i] + carry) % 10;
		c[i + 1] = carry = (a[i] + b[i] + carry) / 10;
	}

	std::string ans(cl + 1, 0);
	for (int i = 0; i < cl + 1; i++) { ans[cl - i] = static_cast<char>(c[i]) + '0'; }
	Erase_LeadingZero(ans);

	return(ans);
}
inline std::string Subtract_MultiplePrecision(const std::string &str1, const std::string &str2) {

	std::string A = str1, B = str2;
	int al = A.length(), bl = B.length();
	std::vector<int> a(al), b(al), c(al);

	for (int i = 0; i < al; i++) { a[i] = A[al - 1 - i] - '0'; }
	for (int i = 0; i < bl; i++) { b[i] = B[bl - 1 - i] - '0'; }

	for (int i = 0; i < al; i++) {
		if (a[i] >= b[i]) {
			c[i] = a[i] - b[i];
		}
		else {
			c[i] = a[i] + 10 - b[i];
			b[i + 1]++;
		}
	}

	std::string ans(al, 0);
	for (int i = 0; i < al; i++) { ans[al - i - 1] = static_cast<char>(c[i]) + '0'; }
	Erase_LeadingZero(ans);

	return(ans);
}

inline std::string Multiply_MultiplePrecision(const std::string &str1, const std::string &str2) {

	std::string A = str1, B = str2;

	int al = A.length(), bl = B.length(), cl = al + bl;
	std::vector<int> a(al), b(bl), c(cl + 1);

	for (int i = 0; i < al; i++) { a[i] = A[al - 1 - i] - '0'; }
	for (int i = 0; i < bl; i++) { b[i] = B[bl - 1 - i] - '0'; }

	for (int i = 0; i < bl; i++) {
		for (int j = 0; j < al; j++) { c[i + j] += b[i] * a[j]; }
	}

	for (int i = 0; i < cl; i++) {
		c[i + 1] += c[i] / 10;
		c[i] = c[i] % 10;
	}

	std::string ans(cl, 0);
	for (int i = 0; i < cl; i++) { ans[cl - i - 1] = static_cast<char>(c[i]) + '0'; }
	Erase_LeadingZero(ans);

	return(ans);
}

inline std::string Divide_MultiplePrecision(const std::string &str1, const std::string &str2, std::string &surplus) {

	if (str2 == "0") { std::cout << "0 divide" << std::endl; return ""; }

	switch (Compare_MultiplePrecision(str1, str2)) {
	case 0:surplus = "0"; return("1");
	case -1:surplus = str2; return("0");
	}

	std::string A = str1, B = str2, ans;
	int bl = B.length(), cont = 0;

	while (Compare_MultiplePrecision(A, B) == 1) {
		cont = 0;
		std::string Ad = A.substr(0, bl);
		if (Compare_MultiplePrecision(Ad, B) == -1) { Ad = A.substr(0, bl + 1); }
		A.replace(0, Ad.length(), "");

		while (Compare_MultiplePrecision(Ad, B) >= 0) {
			Ad = Subtract_MultiplePrecision(Ad, B);
			cont++;
		}

		ans.push_back(static_cast<char>(cont) + '0');
		Erase_LeadingZero(Ad);
		if (Ad != "0") { A = Ad + A; }
		else { ans.push_back('0'); }
	}

	if (A == "") { surplus = "0"; }
	else { surplus = A; }

	return(ans);
}

inline std::string Greatest_Common_Divisor(const std::string &str1, const std::string &str2) {

	std::string A = str1, B = str2;
	while (A != "0" && B != "0") {
		if (Compare_MultiplePrecision(A, B) == 1) { 
			Divide_MultiplePrecision(A, B, A);
			Erase_LeadingZero(A);
		}
		else { 
			Divide_MultiplePrecision(B, A, B);
			Erase_LeadingZero(B);
		}
	}

	if (A == "0") { return B; }
	else { return A; }

}

int main(void) {

	//std::ifstream inf("123.txt");	std::cin.rdbuf(inf.rdbuf());
	std::string A, B, S, P;
	std::cin >> A >> B;

	S = Add_MultiplePrecision(A, B);
	P = Multiply_MultiplePrecision(A, B);
	std::cout << Greatest_Common_Divisor(S, P) << std::endl;
}
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