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什么是同余和除？

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Topics in 什么是同余和除？

Numbered in the order to learn them.

  1. 同余mod $n$简介和运算示例

  2. 基本的欧几里德算法：$\gcd(a, b) = \gcd(a, b-a)$

  3. 余数和除法

  4. 互质整数线性组合的贝祖定理

  5. 减少mod $n$与除法

  6. 改进的欧几里德算法：$\gcd(a, b) = \gcd(a, b\pmod{a})$

  7. What Are Euclidean Domains?

  8. 扩展：欧几里得域为PID

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