西南大学[0346]《初等数论》数论作业2
西南大学《初等数论》数论作业2计算题
1. 求400与240的最大公因数。
2. 求不定方程10x + 9y = 1的一切整数解。
3. 求150与210的最大公因数。
4. 解同余式3x º 2 (mod 5)。
5. 求不定方程7x + 2y = 1的一切整数解。
6. 解同余式3x º 1 (mod 7)。
7. 解同余式28x º 21 (mod 35)。
8. 解同余式组：
data:image/png;base64,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。
9. 求不定方程3x + 2y = 2的一切整数解。
10. 解同余式data:image/png;base64,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。
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