Modular inverse：Modular multiplicative inverse. Keywords
Modular multiplicative inverse. Keywords
// 複製用Python程式碼def ext_euclid(a, b):s0, s1 = 1, 0t0, t1 = 0, 1r0, r1 = a, b while(r1 != 0):q = r0 // r1r0, r1 = r1, r0 - q * r1s0, s1 = s1, s0 - q * s1t0, t1 = t1, t0 - q * t1return s0, t0, r02021年6月22日—若取模的n是一個質數，則(a^-1)modn，也就是a的模反元素可使用費馬小定理求得。。其他文章還包含有：「a289.ModularMultiplicativeInverse」、「InverseModuloCalculator」、「ModularInverse」、「ModularInverse」、「Modularinversemadeeasy」、「Modularinverses(article)」、「Modularmultiplicativeinverse」、「模反元素」
查看更多 離開網站//複製用Python程式碼defext_euclid(a,b):s0,s1=1,0t0,t1=0,1r0,r1=a,bwhile(r1!=0):q=r0//r1r0,r1=r1,r0-q*r1s0,s1=s1,s0-q*s1t0,t1=t1,t0-q*t1returns0,t0,r0假設a,b為兩個整數，有gcd(a,b)=m，該算法可得另外兩個整數s和t且s*a+t*b=m若a,b互質，s即為整數a對b的模反元素。其證明的方式很暴力，如下圖，將輾轉相除法(歐幾里得算法)的過程展開，統整出s,t,r的疊代歷程。
a289. Modular Multiplicative Inverse
https://zerojudge.tw
一整數a 對模數n之模反元素是指滿足以下公式的整數b. a-1 ≡ b (mod n). 也可以寫成以下的式子. ab ≡ 1 (mod n). 現在給定兩個數字a, n，求一個最小 ...
Inverse Modulo Calculator
https://www.omnicalculator.com
Welcome to the inverse modulo calculator! It's here to help you whenever you need to determine modular multiplicative inverses or modular additive inverses.
Modular Inverse
https://cp-algorithms.com
Instead of computing the inverse for every number, we can expand the fraction by the prefix product (excluding itself) and suffix product ( ...
Modular Inverse
https://mathworld.wolfram.com
A modular inverse of an integer b (modulo m) is the integer b^(-1) such that bb^(-1)=1 (mod m). A modular inverse can be computed in the Wolfram Language ...
Modular inverse made easy
https://www.youtube.com
Modular inverses (article)
https://www.khanacademy.org
The modular inverse of A (mod C) is A^-1 · (A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1 · Only the numbers coprime to C (numbers that share no ...
Modular multiplicative inverse
https://en.wikipedia.org
In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is ...
模反元素
https://zh.wikipedia.org
模反元素也稱為模倒數。 一整數 a -displaystyle a} -displaystyle a} 對同餘 n -displaystyle n} -displaystyle n} 之模反元素是指滿足以下公式的整數 b ...