45 lines
884 B
Python
Executable file
45 lines
884 B
Python
Executable file
#!/usr/bin/env python3
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"""Algorithme d'Euclide étendu
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Calcule le PGCD de deux nombres et trouve les coefficients de Bezout.
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"""
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import sys
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def main():
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assert len(sys.argv) == 3
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a = int(sys.argv[1])
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b = int(sys.argv[2])
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# Initialisation
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r = ["r", a, b]
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u = ["u", 1, 0]
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v = ["v", 0, 1]
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q = ["q", "", a // b]
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# Séquence
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while True:
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r.append(r[-2] % r[-1])
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u.append(u[-2] - (q[-1] * u[-1]))
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v.append(v[-2] - (q[-1] * v[-1]))
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if r[-1] == 0:
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q.append("")
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break
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q.append(r[-2] // r[-1])
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print_table(r, u, v, q)
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def print_table(r, u, v, q):
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"""Représentation de l'algorithme"""
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width = max((len(str(i)) for i in r))
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for i in range(len(r)):
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print(f"{r[i]:^{width}} {u[i]:^{width}} {v[i]:^{width}} {q[i]:^{width}}")
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if __name__ == "__main__":
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main()
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