lanqiao 19711 宝石组合
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@@ -5,8 +5,8 @@ using namespace std;
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解析:
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唯一分解定理:
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任何一个大于1的自然数N,如果N不是质数,那么N可以唯一分解成有限个质数的乘积
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N1=p1^a1*p2^a2*...*pn^an
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N2=p1^b1*p2^b2*...*pn^bn
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N1 = p1^a1*p2^a2*...*pn^an
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N2 = p1^b1*p2^b2*...*pn^bn
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则gcd(N1, N2)=p1^min(a1, b1)*p2^min(a2, b2)*... *pn^min(an, bn)
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则lcm(N1, N2)=p1^max(a1, b1)*p2^max(a2, b2)*...*pn^max(an, bn)
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假设Ha,Hb,Hc相同质因子的幂次分别为x,y,z则题目中的表达式等价于
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