extended Euclid's python code example
Example 1: extended euclidean python
def extendEuclidean(a, b, s1=1, s2=0, t1=0, t2=1):
if b:
r=a%b
return extendEuclidean(b, r, s2, s1-s2*(a//b), t2, t1-t2*(a//b))
return a, s1, t1
Example 2: implementing euclid's extended algorithm
.wp-block-code {
border: 0;
padding: 0;
}
.wp-block-code > div {
overflow: auto;
}
.shcb-language {
border: 0;
clip: rect(1px, 1px, 1px, 1px);
-webkit-clip-path: inset(50%);
clip-path: inset(50%);
height: 1px;
margin: -1px;
overflow: hidden;
padding: 0;
position: absolute;
width: 1px;
word-wrap: normal;
word-break: normal;
}
.hljs {
box-sizing: border-box;
}
.hljs.shcb-code-table {
display: table;
width: 100%;
}
.hljs.shcb-code-table > .shcb-loc {
color: inherit;
display: table-row;
width: 100%;
}
.hljs.shcb-code-table .shcb-loc > span {
display: table-cell;
}
.wp-block-code code.hljs:not(.shcb-wrap-lines) {
white-space: pre;
}
.wp-block-code code.hljs.shcb-wrap-lines {
white-space: pre-wrap;
}
.hljs.shcb-line-numbers {
border-spacing: 0;
counter-reset: line;
}
.hljs.shcb-line-numbers > .shcb-loc {
counter-increment: line;
}
.hljs.shcb-line-numbers .shcb-loc > span {
padding-left: 0.75em;
}
.hljs.shcb-line-numbers .shcb-loc::before {
border-right: 1px solid
content: counter(line);
display: table-cell;
padding: 0 0.75em;
text-align: right;
-webkit-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
user-select: none;
white-space: nowrap;
width: 1%;
}
int exeuclid(int a, int m)
{
int A3 = m;
int A2 = 0, A1 = 1;
if (m == 1)
return 0;
while (a > 1)
{
// q is quotient
int q = a / m;
int t = m;
// m is remainder now, process
// same as Euclid's algo
m = a % m;
a = t;
t = A2;
// Update A1 and A2
A2 = A1 - q * A2;
A1 = t;
}
// Make A1 positive
if (A1 < 0)
A1 += A3;
return A1;
}Code language: JavaScript (javascript)