哈希空间 Ctrl + F 进行搜索
首页 php手册中文版 CSS中文手册 哈希文档 Markdown在线工具

PHP gmp 组件

gmp_gcdext

(PHP 4 >= 4.0.4, PHP 5, PHP 7, PHP 8)

gmp_gcdextCalculate GCD and multipliers

说明

gmp_gcdext(GMP|int|string $num1, GMP|int|string $num2): array

Calculates g, s, and t, such that a*s + b*t = g = gcd(a,b), where gcd is the greatest common divisor. Returns an array with respective elements g, s and t.

This function can be used to solve linear Diophantine equations in two variables. These are equations that allow only integer solutions and have the form: a*x + b*y = c. For more information, go to the » "Diophantine Equation" page at MathWorld

参数

num1

GMP 对象或 int ,或数字string

num2

GMP 对象或 int ,或数字string

返回值

An array of GMP numbers.

范例

示例 #1 Solving a linear Diophantine equation

<?php
// Solve the equation a*s + b*t = g
// where a = 12, b = 21, g = gcd(12, 21) = 3
$a gmp_init(12);
$b gmp_init(21);
$g gmp_gcd($a$b);
$r gmp_gcdext($a$b);

$check_gcd = (gmp_strval($g) == gmp_strval($r['g']));
$eq_res gmp_add(gmp_mul($a$r['s']), gmp_mul($b$r['t']));
$check_res = (gmp_strval($g) == gmp_strval($eq_res));

if (
$check_gcd && $check_res) {
    
$fmt "Solution: %d*%d + %d*%d = %d\n";
    
printf($fmtgmp_strval($a), gmp_strval($r['s']), gmp_strval($b),
    
gmp_strval($r['t']), gmp_strval($r['g']));
} else {
    echo 
"Error while solving the equation\n";
}

// output: Solution: 12*2 + 21*-1 = 3
?>
打开 哈希空间 微信小程序中查看更佳