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modular:02_gcd [2014/01/31 11:41] marje |
modular:02_gcd [2014/01/31 11:45] marje |
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| </WRAP> | </WRAP> | ||
| - | Clearly $\min(e_i, e'_i) +\max(e_i, e'_i)=e_i+e'_1$ (for example, $\min\{4,10\}+\max\{4,10\}=4+10=14$), thus obviously. | + | Clearly $\min(e_i, e'_i) +\max(e_i, e'_i)=e_i+e'_1$ (for example, $\min\{4,10\}+\max\{4,10\}=4+10=14$), thus |
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| + | $$\gcd(a,b)\cdot\operatorname{lcm}(a,b)=a\cdot b.$$ | ||
| <WRAP nl> | <WRAP nl> | ||
| [[modular:04_euclidean_algorithm]]\\ | [[modular:04_euclidean_algorithm]]\\ | ||
| </WRAP> | </WRAP> | ||