gcd

Arguments

p

a polynomial row vector p = [p1, ..., pn] (type equal to 2) or an integer row vector (type equal to 8).

Description

[pgcd, U] = gcd(p) computes the gcd of components of p (pgcd) and a unimodular matrix (with polynomial inverse) U, with minimal degree such that

p*U = [0 ... 0 pgcd].

In mathematics, a unimodular matrix U is a square integer matrix having determinant +1 or -1.

The greatest common divisor of an array p of real numbersof real numbers can be obtained by converting it to a polynomial before calling gcd, through p = inv_coeff(p, 0).

Examples

//polynomial case
s=poly(0,'s');
p=[s,s*(s+1)^2,2*s^2+s^3];
[pgcd,u]=gcd(p);
p*u

//integer case
V=int32([2^2*3^5, 2^3*3^2,2^2*3^4*5]);
[thegcd,U]=gcd(V)
V*U

gcd(uint8([15 20]))

gcd([iconvert(15,4) iconvert(20,4)])

gcd(iconvert([15 20],4))

See Also

• bezout — Bezout equation for polynomials or integers
• lcm — least common multiple
• hermit — Hermite form