Course notes (chap. 1 Number Theory, chap. 2 ... - McGill University
Course notes (chap. 1 Number Theory, chap. 2 ... - McGill University
Course notes (chap. 1 Number Theory, chap. 2 ... - McGill University
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
EXAMPLE<br />
gcd(7,19)<br />
x=1,y=0,x’=0,y’=1<br />
= gcd(19,7) x=0,y=1,x’=1,y’=0<br />
= gcd(7,19 mod 7)<br />
= gcd(7,5) x=1,y=0,x’=-2,y’=1<br />
= gcd(5,7 mod 5)<br />
= gcd(5,2) x=-2,y=1,x’=3,y’=-1<br />
= gcd(2,5 mod 2)<br />
= gcd(2,1) x=3,y=-1,x’=-8,y’=3<br />
= gcd(1,2 mod 1) = gcd(1,0) = 1<br />
x=-8,y=3,x’=19,y’=-7