結果

問題 No.442 和と積
ユーザー dgd1724dgd1724
提出日時 2016-11-12 22:28:05
言語 C++11
(gcc 11.4.0)
結果
TLE  
実行時間 -
コード長 3,830 bytes
コンパイル時間 2,389 ms
コンパイル使用メモリ 168,960 KB
実行使用メモリ 13,640 KB
最終ジャッジ日時 2024-11-25 21:39:12
合計ジャッジ時間 4,958 ms
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
13,640 KB
testcase_01 AC 2 ms
6,820 KB
testcase_02 AC 2 ms
6,816 KB
testcase_03 AC 2 ms
6,820 KB
testcase_04 AC 2 ms
6,820 KB
testcase_05 AC 2 ms
6,816 KB
testcase_06 AC 2 ms
6,816 KB
testcase_07 AC 2 ms
6,820 KB
testcase_08 AC 2 ms
6,820 KB
testcase_09 TLE -
testcase_10 AC 2 ms
6,816 KB
testcase_11 WA -
testcase_12 AC 2 ms
6,816 KB
testcase_13 AC 2 ms
6,820 KB
testcase_14 AC 2 ms
6,820 KB
testcase_15 WA -
testcase_16 AC 2 ms
6,816 KB
testcase_17 AC 2 ms
6,820 KB
testcase_18 AC 2 ms
6,820 KB
testcase_19 AC 2 ms
6,816 KB
testcase_20 AC 2 ms
10,020 KB
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.length() <= 18) {
		unsigned long long temp = std::stoull(A);
		A = std::to_string(temp);
	}
	else {
		std::reverse(A.begin(), A.end());
		while (A.back() == '0') { A.pop_back(); }
		std::reverse(A.begin(), A.end());
		if (A == "") { A = "0"; }
	}
}

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, 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 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 bool Compare_MultiplePrecision(const std::string &A, const std::string &B) {

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

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

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

	while (abs(al - bl) >= 2) {
		std::string temp;
		if (al > bl) {
			temp = B;
			for (int i = 0; i < al - bl - 1; i++) { temp += "0"; }
			A = Subtract_MultiplePrecision(A, temp);
			al = A.length();
		}
		else {
			temp = A;
			for (int i = 0; i < bl - al - 1; i++) { temp += "0"; }
			B = Subtract_MultiplePrecision(B, temp);
			bl = B.length();
		}
	}

	while (A != "0" && B != "0") {
		if (Compare_MultiplePrecision(A, B)) {
			A = Subtract_MultiplePrecision(A, B);
		}
		else {
			B = Subtract_MultiplePrecision(B, A);
		}
	}
	return(Add_MultiplePrecision(A, B));

}

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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