[理工] 離散 數論質數相關問題
T or F
1. with gcd(a,b)=1, if a|c and b|c, then ab|c is true
2. with gcd(a,b)=1, if a|bc is true, then a|c is true
3. with a is even and b is odd, then gcd(a,b) = gcd(a/2,b)
想了很久還是想不通
有請高手指教
可以的話順便附上原因或是反例 感謝
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