Created
June 20, 2017 21:54
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Erweiterter Euklidischer Algorithmus
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| let rec ggT a b = | |
| let r = a % b | |
| if r = 0 || r = b then | |
| b, 0, 1 | |
| else | |
| let q = a / b | |
| let g, s, t = ggT b r | |
| g, t, s - q * t | |
| let run a b = | |
| let g, s, t = ggT a b | |
| let checksum = a * s + b * t | |
| printfn "Der ggT von a := %i und b := %i lautet g := %i. Die Bézout-Koeffizienten lauten s := %i und t := %i: %i*%i + %i*%i = %i" a b g s t a s b t checksum | |
| run 45 81 |
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